112970908312416 has 576 divisors, whose sum is σ = 410118564151296. Its totient is φ = 28648896998400.

The previous prime is 112970908312321. The next prime is 112970908312433. The reversal of 112970908312416 is 614213809079211.

112970908312416 is a `hidden beast` number, since 1 + 129 + 7 + 0 + 90 + 8 + 3 + 12 + 416 = 666.

112970908312416 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112970908312416² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161824785 + ... + 162521391.

It is an arithmetic number, because the mean of its divisors is an integer number (712011396096).

Almost surely, 2^{112970908312416} is an apocalyptic number.

112970908312416 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 112970908312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205059282075648).

112970908312416 is an abundant number, since it is smaller than the sum of its proper divisors (297147655838880).

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

112970908312416 is a wasteful number, since it uses less digits than its factorization.

112970908312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696815 (or 696804 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 112970908312416 in words is "one hundred twelve trillion, nine hundred seventy billion, nine hundred eight million, three hundred twelve thousand, four hundred sixteen".