112807313424 has 135 divisors (see below), whose sum is σ = 342015633687. Its totient is φ = 34693820928.

The previous prime is 112807313407. The next prime is 112807313447. The reversal of 112807313424 is 424313708211.

The square root of 112807313424 is 335868.

It is a perfect power (a square), and thus also a powerful number.

112807313424 is a `hidden beast` number, since 1 + 1 + 280 + 7 + 31 + 342 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69310039824 + 43497273600 = 263268^2 + 208560^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52394332 + ... + 52396484.

Almost surely, 2^112807313424 is an apocalyptic number.

112807313424 is the 335868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112807313424

112807313424 is an abundant number, since it is smaller than the sum of its proper divisors (229208320263).

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

112807313424 is an equidigital number, since it uses as much as digits as its factorization.

112807313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 112807313424 by its sum of digits (36), we get a square (4061063283264 = 2015208²).

112807313424 divided by its sum of digits (36) gives a square (3133536484 = 55978²).

The spelling of 112807313424 in words is "one hundred twelve billion, eight hundred seven million, three hundred thirteen thousand, four hundred twenty-four".