116617012120656 has 120 divisors (see below), whose sum is σ = 329013031711104. Its totient is φ = 38558282204160.

The previous prime is 116617012120643. The next prime is 116617012120663. The reversal of 116617012120656 is 656021210716611.

116617012120656 is a `hidden beast` number, since 1 + 1 + 6 + 617 + 0 + 1 + 2 + 1 + 20 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276200 + ... + 15440696.

Almost surely, 2^{116617012120656} is an apocalyptic number.

116617012120656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116617012120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164506515855552).

116617012120656 is an abundant number, since it is smaller than the sum of its proper divisors (212396019590448).

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

116617012120656 is a wasteful number, since it uses less digits than its factorization.

116617012120656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165009 (or 13165000 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 116617012120656 in words is "one hundred sixteen trillion, six hundred seventeen billion, twelve million, one hundred twenty thousand, six hundred fifty-six".