113837462047296 has 315 divisors, whose sum is σ = 365436387736761. Its totient is φ = 35023838593536.

The previous prime is 113837462047291. The next prime is 113837462047319. The reversal of 113837462047296 is 692740264738311.

The square root of 113837462047296 is 10669464.

It is a perfect power (a square), and thus also a powerful number.

113837462047296 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 74 + 6 + 2 + 0 + 472 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16839861249600 + 96997600797696 = 4103640^2 + 9848736^2 .

It is not an unprimeable number, because it can be changed into a prime (113837462047291) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9986612605 + ... + 9986624003.

Almost surely, 2^{113837462047296} is an apocalyptic number.

113837462047296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113837462047296 is the 10669464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113837462047296

113837462047296 is an abundant number, since it is smaller than the sum of its proper divisors (251598925689465).

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

113837462047296 is an frugal number, since it uses more digits than its factorization.

113837462047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22848 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 113837462047296 in words is "one hundred thirteen trillion, eight hundred thirty-seven billion, four hundred sixty-two million, forty-seven thousand, two hundred ninety-six".