>>13997749what you're describing is (kind of) close to G(65)
if G=G(64) then G(65) is close in size to your number. G(65) is the same thing except a power tower of 3, G(64) times, instead of a power tower of G(64), G(64) times.
The fact that every number in that power tower is G(64) instead of 3 is not as important as the fact that there are the same number of up-arrows as G(65). For example, G(66) would dwarf your number
>>13997910factorial is miniscule compared to the power of G