112057439472 has 320 divisors, whose sum is σ = 364382392320. Its totient is φ = 32664038400.

The previous prime is 112057439467. The next prime is 112057439497. The reversal of 112057439472 is 274934750211.

112057439472 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 574 + 3 + 9 + 4 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25482778 + ... + 25487174.

It is an arithmetic number, because the mean of its divisors is an integer number (1138694976).

Almost surely, 2^112057439472 is an apocalyptic number.

112057439472 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 112057439472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182191196160).

112057439472 is an abundant number, since it is smaller than the sum of its proper divisors (252324952848).

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

112057439472 is a wasteful number, since it uses less digits than its factorization.

112057439472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 112057439472 in words is "one hundred twelve billion, fifty-seven million, four hundred thirty-nine thousand, four hundred seventy-two".