112833937118224 has 45 divisors (see below), whose sum is σ = 254308791377277. Its totient is φ = 48357274154112.

The previous prime is 112833937118197. The next prime is 112833937118261. The reversal of 112833937118224 is 422811739338211.

The square root of 112833937118224 is 10622332.

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

It can be written as a sum of positive squares in only one way, i.e., 108591655415824 + 4242281702400 = 10420732^2 + 2059680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 297235612 + ... + 297614980.

Almost surely, 2^{112833937118224} is an apocalyptic number.

112833937118224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

112833937118224 is the 10622332-nd square number.

It is an amenable number.

112833937118224 is an abundant number, since it is smaller than the sum of its proper divisors (141474854259053).

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

112833937118224 is an frugal number, since it uses more digits than its factorization.

112833937118224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758760 (or 379378 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The spelling of 112833937118224 in words is "one hundred twelve trillion, eight hundred thirty-three billion, nine hundred thirty-seven million, one hundred eighteen thousand, two hundred twenty-four".