115360488360000 has 3465 divisors, whose sum is σ = 493566385973331. Its totient is φ = 26726049792000.

The previous prime is 115360488359989. The next prime is 115360488360001. The reversal of 115360488360000 is 63884063511.

The square root of 115360488360000 is 10740600.

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

115360488360000 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 604 + 8 + 8 + 36 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 99571500016704 + 15788988343296 = 9978552^2 + 3973536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (115360488360001) by changing a digit.

It is a polite number, since it can be written in 494 ways as a sum of consecutive naturals, for example, 6785911079992 + ... + 6785911080008.

Almost surely, 2^{115360488360000} is an apocalyptic number.

115360488360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115360488360000 is the 10740600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115360488360000

115360488360000 is an abundant number, since it is smaller than the sum of its proper divisors (378205897613331).

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

115360488360000 is an frugal number, since it uses more digits than its factorization.

115360488360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 115360488360000 in words is "one hundred fifteen trillion, three hundred sixty billion, four hundred eighty-eight million, three hundred sixty thousand".