113518056960 has 1440 divisors, whose sum is σ = 517437819360. Its totient is φ = 23503011840.

The previous prime is 113518056947. The next prime is 113518057013. The reversal of 113518056960 is 69650815311.

113518056960 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 1 + 80 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 409812342 + ... + 409812618.

It is an arithmetic number, because the mean of its divisors is an integer number (359331819).

Almost surely, 2^113518056960 is an apocalyptic number.

113518056960 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 113518056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258718909680).

113518056960 is an abundant number, since it is smaller than the sum of its proper divisors (403919762400).

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

113518056960 is a wasteful number, since it uses less digits than its factorization.

113518056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 113518056960 in words is "one hundred thirteen billion, five hundred eighteen million, fifty-six thousand, nine hundred sixty".