113488965734400 has 1287 divisors, whose sum is σ = 425228729266831. Its totient is φ = 30042821099520.

The previous prime is 113488965734387. The next prime is 113488965734423. The reversal of 113488965734400 is 4437569884311.

The square root of 113488965734400 is 10653120.

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

113488965734400 is a `hidden beast` number, since 1 + 1 + 3 + 48 + 89 + 6 + 5 + 73 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 331112779776 + 113157852954624 = 575424^2 + 10637568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 828386611132 + ... + 828386611268.

Almost surely, 2^{113488965734400} is an apocalyptic number.

113488965734400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113488965734400 is the 10653120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113488965734400

113488965734400 is an abundant number, since it is smaller than the sum of its proper divisors (311739763532431).

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

113488965734400 is an frugal number, since it uses more digits than its factorization.

113488965734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 113488965734400 in words is "one hundred thirteen trillion, four hundred eighty-eight billion, nine hundred sixty-five million, seven hundred thirty-four thousand, four hundred".