112896133680 has 320 divisors, whose sum is σ = 404908512768. Its totient is φ = 25717063680.

The previous prime is 112896133639. The next prime is 112896133681. The reversal of 112896133680 is 86331698211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (112896133681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33972499 + ... + 33975821.

Almost surely, 2^112896133680 is an apocalyptic number.

112896133680 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 112896133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202454256384).

112896133680 is an abundant number, since it is smaller than the sum of its proper divisors (292012379088).

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

112896133680 is a wasteful number, since it uses less digits than its factorization.

112896133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 112896133680 in words is "one hundred twelve billion, eight hundred ninety-six million, one hundred thirty-three thousand, six hundred eighty".