112816368 has 80 divisors (see below), whose sum is σ = 370095360. Its totient is φ = 32232384.

The previous prime is 112816343. The next prime is 112816397. The reversal of 112816368 is 863618211.

112816368 is a `hidden beast` number, since 1 + 12 + 8 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×112816368² = 25455065777422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 15630 + ... + 21677.

It is an arithmetic number, because the mean of its divisors is an integer number (4626192).

Almost surely, 2^112816368 is an apocalyptic number.

112816368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112816368 is an abundant number, since it is smaller than the sum of its proper divisors (257278992).

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

112816368 is a wasteful number, since it uses less digits than its factorization.

112816368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37331 (or 37319 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 112816368 is about 10621.5049781093. The cubic root of 112816368 is about 483.1967872175.

The spelling of 112816368 in words is "one hundred twelve million, eight hundred sixteen thousand, three hundred sixty-eight".