115393657716736 has 405 divisors, whose sum is σ = 283781473266627. Its totient is φ = 46777310576640.

The previous prime is 115393657716607. The next prime is 115393657716763. The reversal of 115393657716736 is 637617756393511.

The square root of 115393657716736 is 10742144.

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

115393657716736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182874259141 + ... + 182874259771.

Almost surely, 2^{115393657716736} is an apocalyptic number.

115393657716736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115393657716736 is the 10742144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115393657716736

115393657716736 is an abundant number, since it is smaller than the sum of its proper divisors (168387815549891).

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

115393657716736 is an frugal number, since it uses more digits than its factorization.

115393657716736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 659 counting only the distinct ones).

The product of its digits is 450084600, while the sum is 70.

The spelling of 115393657716736 in words is "one hundred fifteen trillion, three hundred ninety-three billion, six hundred fifty-seven million, seven hundred sixteen thousand, seven hundred thirty-six".