112832040960 has 520 divisors, whose sum is σ = 428374031976. Its totient is φ = 28311552000.

The previous prime is 112832040883. The next prime is 112832041033. The reversal of 112832040960 is 69040238211.

112832040960 is a `hidden beast` number, since 112 + 83 + 2 + 0 + 409 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3519811584 + 109312229376 = 59328^2 + 330624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28198960 + ... + 28202960.

Almost surely, 2^112832040960 is an apocalyptic number.

112832040960 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 112832040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214187015988).

112832040960 is an abundant number, since it is smaller than the sum of its proper divisors (315541991016).

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

112832040960 is an equidigital number, since it uses as much as digits as its factorization.

112832040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 112832040960 in words is "one hundred twelve billion, eight hundred thirty-two million, forty thousand, nine hundred sixty".