112883688 has 24 divisors (see below), whose sum is σ = 305726850. Its totient is φ = 37627872.

The previous prime is 112883647. The next prime is 112883699. The reversal of 112883688 is 886388211.

112883688 is a `hidden beast` number, since 1 + 1 + 288 + 368 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63011844 + 49871844 = 7938^2 + 7062^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 783843 + ... + 783986.

Almost surely, 2^112883688 is an apocalyptic number.

112883688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112883688 is an abundant number, since it is smaller than the sum of its proper divisors (192843162).

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

112883688 is a wasteful number, since it uses less digits than its factorization.

112883688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567841 (or 1567834 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 112883688 is about 10624.6735479261. The cubic root of 112883688 is about 483.2928794785.

It can be divided in two parts, 11288368 and 8, that added together give a triangular number (11288376 = T₄₇₅₁).

The spelling of 112883688 in words is "one hundred twelve million, eight hundred eighty-three thousand, six hundred eighty-eight".