112313058408 has 224 divisors, whose sum is σ = 324945621000. Its totient is φ = 36354355200.

The previous prime is 112313058397. The next prime is 112313058433. The reversal of 112313058408 is 804850313211.

112313058408 is a `hidden beast` number, since 1 + 12 + 31 + 30 + 584 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96981170724 + 15331887684 = 311418^2 + 123822^2 .

It is a super-2 number, since 2×112313058408² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57625018 + ... + 57626966.

Almost surely, 2^112313058408 is an apocalyptic number.

112313058408 is a gapful number since it is divisible by the number (18) 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 112313058408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162472810500).

112313058408 is an abundant number, since it is smaller than the sum of its proper divisors (212632562592).

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

112313058408 is a wasteful number, since it uses less digits than its factorization.

112313058408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 112313058408 in words is "one hundred twelve billion, three hundred thirteen million, fifty-eight thousand, four hundred eight".