112081759416576 has 360 divisors, whose sum is σ = 345872288223000. Its totient is φ = 36057645711360.

The previous prime is 112081759416533. The next prime is 112081759416589. The reversal of 112081759416576 is 675614957180211.

112081759416576 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 8 + 1 + 7 + 59 + 4 + 1 + 6 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16961218560000 + 95120540856576 = 4118400^2 + 9752976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1532789296 + ... + 1532862416.

It is an arithmetic number, because the mean of its divisors is an integer number (960756356175).

Almost surely, 2^{112081759416576} is an apocalyptic number.

112081759416576 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 112081759416576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172936144111500).

112081759416576 is an abundant number, since it is smaller than the sum of its proper divisors (233790528806424).

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

112081759416576 is an equidigital number, since it uses as much as digits as its factorization.

112081759416576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75727 (or 75704 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 112081759416576 in words is "one hundred twelve trillion, eighty-one billion, seven hundred fifty-nine million, four hundred sixteen thousand, five hundred seventy-six".