113662914819264 has 336 divisors, whose sum is σ = 342057201726240. Its totient is φ = 36045218119680.

The previous prime is 113662914819089. The next prime is 113662914819329. The reversal of 113662914819264 is 462918419266311.

113662914819264 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 6 + 2 + 9 + 1 + 481 + 92 + 64 = 666.

It is a super-2 number, since 2×113662914819264² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626465392 + ... + 626646800.

It is an arithmetic number, because the mean of its divisors is an integer number (1018027386090).

Almost surely, 2^{113662914819264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113662914819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171028600863120).

113662914819264 is an abundant number, since it is smaller than the sum of its proper divisors (228394286906976).

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

113662914819264 is a wasteful number, since it uses less digits than its factorization.

113662914819264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182128 (or 182115 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 113662914819264 in words is "one hundred thirteen trillion, six hundred sixty-two billion, nine hundred fourteen million, eight hundred nineteen thousand, two hundred sixty-four".