113976956160 has 216 divisors, whose sum is σ = 403968323304. Its totient is φ = 29652418560.

The previous prime is 113976956083. The next prime is 113976956183. The reversal of 113976956160 is 61659679311.

It is a happy number.

113976956160 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 76 + 9 + 561 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 113574392064 = 20064^2 + 337008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113976956097 and 113976956106.

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, 351664 + ... + 592976.

It is an arithmetic number, because the mean of its divisors is an integer number (1870223719).

Almost surely, 2^113976956160 is an apocalyptic number.

113976956160 is a gapful number since it is divisible by the number (10) 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 113976956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201984161652).

113976956160 is an abundant number, since it is smaller than the sum of its proper divisors (289991367144).

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

113976956160 is a wasteful number, since it uses less digits than its factorization.

113976956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241381 (or 241364 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 113976956160 in words is "one hundred thirteen billion, nine hundred seventy-six million, nine hundred fifty-six thousand, one hundred sixty".