Generally, when discussing this area, people speak of "consciousness", so the adjective you'd be looking for would be "conscious".
1: having mental
faculties not dulled by sleep, faintness, or stupor : awake 2:
perceiving, apprehending, or noticing with a degree of controlled
thought or observation 6: capable of or marked by thought, will,
design, or perception
https://www.merriam-webster.com/dictionary/conscious
But beware that as soon as you use that, you're pulling in a whoooole lot of baggage, because the definition of consciousness is filled with people trying to make it mean whatever their paper is about.
So you get people arguing that consciousness requires awareness of your own thoughts, or some other criteria that fits their need. English is slippery, and a word can have many overloaded meanings, or indeed an entire continuity of meanings, defined by context.
"Conscious" is infamous as being such a word.
From papers like:
Honey bees, I shall argue, are conscious, as are fish; amoeba are not.
(1997) The Problem of Simple Minds: Is There Anything It Is like to Be a Honey Bee?, https://www.jstor.org/stable/4320801
...and:
But evidence of cross-modal learning, especially if it is sensitive to masking, seems likely to form part of the eventual case for bee consciousness.
(2020) The search for invertebrate consciousness
https://onlinelibrary.wiley.com/doi/full/10.1111/nous.12351
... it's clear that there is no consensus whether awake bees are conscious, even though a sleeping or drugged bee might perfectly reasonably be called unconscious.
So what is consciousness?
It may be awareness, awareness of awareness, or self-awareness either continuously changing or not.
https://en.wikipedia.org/wiki/Consciousness
It feels like this is the term you'd want for the question you seem to be addressing in your quote: is numeracy inherent to consciousness, arising from it naturally and inevitably; or is it tangential, something that can be done by non-conscious things like trees or even natural processes such as crystals, waves, or erosion; or is it perhaps a subset of consciousness, and there are things which are conscious but not numerate?
Though it could simply be that you are looking for "has senses", in which case the suggestions by @Elliot of 'Sentient' or 'Aware' are great.
Another, much less often used, so perhaps less open to vague interpretation, is "sensate".
Sensate: perceiving or perceived by the senses.
dictionary.com
If you're trying to make the argument "having senses makes you able to count at least up to 2", that might be a good option.
There's a kind of spectrum from external awareness to introspection, that goes sensate -> sentient -> conscious -> sapient. But this spectrum is so vague that many would even order it differently (swapping "sentient" and "conscious", in particular).
Which is all a long way of saying: if you're using these terms in a scholarly context, then you will probably need to define your terms, as there is likely no universally recognized meaning for a single-word term, and even if there were, there's a huge amount of debate over where each animal falls in the spectrum.