113756493312 has 800 divisors, whose sum is σ = 432547315200. Its totient is φ = 29506498560.

The previous prime is 113756493233. The next prime is 113756493401. The reversal of 113756493312 is 213394657311.

113756493312 is a `hidden beast` number, since 11 + 37 + 564 + 9 + 33 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156473493 + ... + 156474219.

It is an arithmetic number, because the mean of its divisors is an integer number (540684144).

Almost surely, 2^113756493312 is an apocalyptic number.

113756493312 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 113756493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216273657600).

113756493312 is an abundant number, since it is smaller than the sum of its proper divisors (318790821888).

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

113756493312 is an frugal number, since it uses more digits than its factorization.

113756493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 750 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 113756493312 in words is "one hundred thirteen billion, seven hundred fifty-six million, four hundred ninety-three thousand, three hundred twelve".