112889529792 has 448 divisors, whose sum is σ = 379828592640. Its totient is φ = 32571113472.

The previous prime is 112889529761. The next prime is 112889529827. The reversal of 112889529792 is 297925988211.

112889529792 is a `hidden beast` number, since 1 + 1 + 28 + 89 + 529 + 7 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185979153 + ... + 185979759.

It is an arithmetic number, because the mean of its divisors is an integer number (847831680).

Almost surely, 2^112889529792 is an apocalyptic number.

112889529792 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 112889529792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189914296320).

112889529792 is an abundant number, since it is smaller than the sum of its proper divisors (266939062848).

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

112889529792 is a wasteful number, since it uses less digits than its factorization.

112889529792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 112889529792 in words is "one hundred twelve billion, eight hundred eighty-nine million, five hundred twenty-nine thousand, seven hundred ninety-two".