116456905656 has 960 divisors, whose sum is σ = 444939264000. Its totient is φ = 28099975680.

The previous prime is 116456905639. The next prime is 116456905699. The reversal of 116456905656 is 656509654611.

116456905656 is a `hidden beast` number, since 1 + 1 + 6 + 456 + 90 + 56 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 243124825 + ... + 243125303.

It is an arithmetic number, because the mean of its divisors is an integer number (463478400).

Almost surely, 2^116456905656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116456905656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222469632000).

116456905656 is an abundant number, since it is smaller than the sum of its proper divisors (328482358344).

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

116456905656 is a wasteful number, since it uses less digits than its factorization.

116456905656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 116456905656 in words is "one hundred sixteen billion, four hundred fifty-six million, nine hundred five thousand, six hundred fifty-six".