116157768192 has 240 divisors, whose sum is σ = 342633308160. Its totient is φ = 37874221056.

The previous prime is 116157768191. The next prime is 116157768229. The reversal of 116157768192 is 291867751611.

116157768192 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 577 + 68 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×116157768192² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116157768191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42719409 + ... + 42722127.

It is an arithmetic number, because the mean of its divisors is an integer number (1427638784).

Almost surely, 2^116157768192 is an apocalyptic number.

116157768192 is a gapful number since it is divisible by the number (12) 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 116157768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171316654080).

116157768192 is an abundant number, since it is smaller than the sum of its proper divisors (226475539968).

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

116157768192 is a wasteful number, since it uses less digits than its factorization.

116157768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2924 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 54.

The spelling of 116157768192 in words is "one hundred sixteen billion, one hundred fifty-seven million, seven hundred sixty-eight thousand, one hundred ninety-two".