116705600125664 has 96 divisors (see below), whose sum is σ = 259304342048640. Its totient is φ = 51216906585600.

The previous prime is 116705600125663. The next prime is 116705600125753. The reversal of 116705600125664 is 466521006507611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116705600125663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304037219 + ... + 304420829.

It is an arithmetic number, because the mean of its divisors is an integer number (2701086896340).

Almost surely, 2^{116705600125664} is an apocalyptic number.

It is an amenable number.

116705600125664 is an abundant number, since it is smaller than the sum of its proper divisors (142598741922976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116705600125664 is a wasteful number, since it uses less digits than its factorization.

116705600125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413464 (or 413456 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 116705600125664 in words is "one hundred sixteen trillion, seven hundred five billion, six hundred million, one hundred twenty-five thousand, six hundred sixty-four".