113318688 has 48 divisors (see below), whose sum is σ = 339958080. Its totient is φ = 32376576.

The previous prime is 113318687. The next prime is 113318693. The reversal of 113318688 is 886813311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×113318688² = 25682250100082688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113318683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83643 + ... + 84986.

It is an arithmetic number, because the mean of its divisors is an integer number (7082460).

Almost surely, 2^113318688 is an apocalyptic number.

It is an amenable number.

113318688 is an abundant number, since it is smaller than the sum of its proper divisors (226639392).

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

113318688 is a wasteful number, since it uses less digits than its factorization.

113318688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168649 (or 168641 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 113318688 is about 10645.1250814633. The cubic root of 113318688 is about 483.9128773357.

It can be divided in two parts, 113 and 318688, that added together give a triangular number (318801 = T₇₉₈).

The spelling of 113318688 in words is "one hundred thirteen million, three hundred eighteen thousand, six hundred eighty-eight".