Yea, that specific number fits into 2 kilobytes of memory, but it’s so large it’s hard to compare it to anything.
Which is why I suggest comparing it to the number of bits required to encode the universe. If all you wanted was to store a single arbitrary number and could read write the universe you could do anything out to 2^(10^(80 * k)) where k is larger than 1 but I suspect below 100.
8 binary bits in order can encode 256 states, as if every bit was capable of encoding 32 states.