115057318401 has 63 divisors (see below), whose sum is σ = 183499755411. Its totient is φ = 72095137344.

The previous prime is 115057318391. The next prime is 115057318427. The reversal of 115057318401 is 104813750511.

It is a happy number.

The square root of 115057318401 is 339201.

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

115057318401 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 573 + 1 + 84 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89577497025 + 25479821376 = 299295^2 + 159624^2 .

It is not a de Polignac number, because 115057318401 - 2³³ = 106467383809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115057318801) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 155692890 + ... + 155693628.

Almost surely, 2^115057318401 is an apocalyptic number.

115057318401 is the 339201-st square number.

115057318401 is the 169601-st centered octagonal number.

It is an amenable number.

115057318401 is a deficient number, since it is larger than the sum of its proper divisors (68442437010).

115057318401 is an frugal number, since it uses more digits than its factorization.

115057318401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

Multiplying 115057318401 by its sum of digits (36), we get a square (4142063462436 = 2035206²).

The spelling of 115057318401 in words is "one hundred fifteen billion, fifty-seven million, three hundred eighteen thousand, four hundred one".