113871816576 has 960 divisors, whose sum is σ = 425473171200. Its totient is φ = 30046464000.

The previous prime is 113871816563. The next prime is 113871816587. The reversal of 113871816576 is 675618178311.

113871816576 is a `hidden beast` number, since 11 + 38 + 7 + 18 + 16 + 576 = 666.

It is a super-2 number, since 2×113871816576² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 453672451 + ... + 453672701.

It is an arithmetic number, because the mean of its divisors is an integer number (443201220).

Almost surely, 2^113871816576 is an apocalyptic number.

113871816576 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 113871816576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212736585600).

113871816576 is an abundant number, since it is smaller than the sum of its proper divisors (311601354624).

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

113871816576 is a wasteful number, since it uses less digits than its factorization.

113871816576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 329 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 113871816576 in words is "one hundred thirteen billion, eight hundred seventy-one million, eight hundred sixteen thousand, five hundred seventy-six".