112916643840 has 2400 divisors, whose sum is σ = 575499665664. Its totient is φ = 20384317440.

The previous prime is 112916643821. The next prime is 112916643863. The reversal of 112916643840 is 48346619211.

112916643840 is a `hidden beast` number, since 1 + 12 + 9 + 166 + 438 + 40 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10608 × 1008 × 10560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6642155512 + ... + 6642155528.

Almost surely, 2^112916643840 is an apocalyptic number.

112916643840 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 112916643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287749832832).

112916643840 is an abundant number, since it is smaller than the sum of its proper divisors (462583021824).

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

112916643840 is a wasteful number, since it uses less digits than its factorization.

112916643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 112916643840 in words is "one hundred twelve billion, nine hundred sixteen million, six hundred forty-three thousand, eight hundred forty".