112893832128 has 224 divisors, whose sum is σ = 372796051968. Its totient is φ = 29292134400.

The previous prime is 112893832097. The next prime is 112893832187. The reversal of 112893832128 is 821238398211.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16214568 + ... + 16221528.

Almost surely, 2^112893832128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112893832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186398025984).

112893832128 is an abundant number, since it is smaller than the sum of its proper divisors (259902219840).

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

112893832128 is a wasteful number, since it uses less digits than its factorization.

112893832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8081 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The spelling of 112893832128 in words is "one hundred twelve billion, eight hundred ninety-three million, eight hundred thirty-two thousand, one hundred twenty-eight".