112824040596732 has 432 divisors, whose sum is σ = 335095436894400. Its totient is φ = 31845663682560.

The previous prime is 112824040596629. The next prime is 112824040596767. The reversal of 112824040596732 is 237695040428211.

It is a happy number.

112824040596732 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 4 + 0 + 40 + 596 + 7 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 390684369 + ... + 390973047.

It is an arithmetic number, because the mean of its divisors is an integer number (775683881700).

It is a 1-persistent number, because it is pandigital, but 2⋅112824040596732 = 225648081193464 is not.

Almost surely, 2^{112824040596732} is an apocalyptic number.

112824040596732 is a gapful number since it is divisible by the number (12) 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 112824040596732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167547718447200).

112824040596732 is an abundant number, since it is smaller than the sum of its proper divisors (222271396297668).

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

112824040596732 is a wasteful number, since it uses less digits than its factorization.

112824040596732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288834 (or 288810 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 112824040596732 in words is "one hundred twelve trillion, eight hundred twenty-four billion, forty million, five hundred ninety-six thousand, seven hundred thirty-two".