112733206589952 has 960 divisors, whose sum is σ = 376335896961024. Its totient is φ = 33469357178880.

The previous prime is 112733206589947. The next prime is 112733206590007. The reversal of 112733206589952 is 259985602337211.

112733206589952 is a `hidden beast` number, since 1 + 1 + 27 + 3 + 3 + 20 + 6 + 589 + 9 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112733206589952.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5397280053 + ... + 5397300939.

Almost surely, 2^{112733206589952} is an apocalyptic number.

112733206589952 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 112733206589952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188167948480512).

112733206589952 is an abundant number, since it is smaller than the sum of its proper divisors (263602690371072).

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

112733206589952 is an equidigital number, since it uses as much as digits as its factorization.

112733206589952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21051 (or 21023 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 112733206589952 in words is "one hundred twelve trillion, seven hundred thirty-three billion, two hundred six million, five hundred eighty-nine thousand, nine hundred fifty-two".