113688816 has 160 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 33825792.

The previous prime is 113688791. The next prime is 113688823. The reversal of 113688816 is 618886311.

It is a super-3 number, since 3×113688816³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696815 + ... + 1696881.

It is an arithmetic number, because the mean of its divisors is an integer number (2048976).

Almost surely, 2^113688816 is an apocalyptic number.

113688816 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 113688816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

113688816 is an abundant number, since it is smaller than the sum of its proper divisors (214147344).

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

113688816 is a wasteful number, since it uses less digits than its factorization.

113688816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 113688816 is about 10662.4957678772. The cubic root of 113688816 is about 484.4391660870.

The spelling of 113688816 in words is "one hundred thirteen million, six hundred eighty-eight thousand, eight hundred sixteen".