You're right, constants are only "half" of the equation, so to speak. The other half is the equations themselves. In information theory, the combination of the two is usually referred to as the Minimum Description Length (MDL):

https://en.wikipedia.org/wiki/Minimum_description_length

It would be interesting to know what is the Kolmogorov complexity of the complete description of our universe. Or for that matter, what is the Kolmogorov complexity of our current understanding of the universe.

https://en.wikipedia.org/wiki/Kolmogorov_complexity