112441058304 has 176 divisors, whose sum is σ = 302415067968. Its totient is φ = 37142396928.

The previous prime is 112441058299. The next prime is 112441058339. The reversal of 112441058304 is 403850144211.

It is a super-3 number, since 3×112441058304³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324037459 + ... + 324037805.

Almost surely, 2^112441058304 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 112441058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151207533984).

112441058304 is an abundant number, since it is smaller than the sum of its proper divisors (189974009664).

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

112441058304 is a wasteful number, since it uses less digits than its factorization.

112441058304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 112441058304 in words is "one hundred twelve billion, four hundred forty-one million, fifty-eight thousand, three hundred four".