112057031471616 has 3840 divisors, whose sum is σ = 450318217789440. Its totient is φ = 25978208256000.

The previous prime is 112057031471599. The next prime is 112057031471629. The reversal of 112057031471616 is 616174130750211.

112057031471616 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 570 + 3 + 1 + 4 + 71 + 6 + 1 + 6 = 666.

112057031471616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112057031471616² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1259067769300 + ... + 1259067769388.

It is an arithmetic number, because the mean of its divisors is an integer number (117270369216).

Almost surely, 2^{112057031471616} is an apocalyptic number.

112057031471616 is a gapful number since it is divisible by the number (16) 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 112057031471616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225159108894720).

112057031471616 is an abundant number, since it is smaller than the sum of its proper divisors (338261186317824).

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

112057031471616 is a wasteful number, since it uses less digits than its factorization.

112057031471616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 112057031471616 in words is "one hundred twelve trillion, fifty-seven billion, thirty-one million, four hundred seventy-one thousand, six hundred sixteen".