112592934720 has 336 divisors, whose sum is σ = 445579804800. Its totient is φ = 25562124288.

The previous prime is 112592934683. The next prime is 112592934757. The reversal of 112592934720 is 27439295211.

112592934720 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 92 + 93 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112592934683) and next prime (112592934757).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2985099 + ... + 3022581.

Almost surely, 2^112592934720 is an apocalyptic number.

112592934720 is a gapful number since it is divisible by the number (10) 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 112592934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222789902400).

112592934720 is an abundant number, since it is smaller than the sum of its proper divisors (332986870080).

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

112592934720 is a wasteful number, since it uses less digits than its factorization.

112592934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37662 (or 37649 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 112592934720 in words is "one hundred twelve billion, five hundred ninety-two million, nine hundred thirty-four thousand, seven hundred twenty".