115362801801 has 45 divisors (see below), whose sum is σ = 186672420759. Its totient is φ = 70968038544.

The previous prime is 115362801781. The next prime is 115362801811. The reversal of 115362801801 is 108108263511.

The square root of 115362801801 is 339651.

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

115362801801 is a `hidden beast` number, since 1 + 15 + 3 + 628 + 0 + 18 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17065503225 + 98297298576 = 130635^2 + 313524^2 .

It is not a de Polignac number, because 115362801801 - 2¹¹ = 115362799753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115362801811) 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, 39737716 + ... + 39740618.

Almost surely, 2^115362801801 is an apocalyptic number.

115362801801 is the 339651-st square number.

115362801801 is the 169826-th centered octagonal number.

It is an amenable number.

115362801801 is a deficient number, since it is larger than the sum of its proper divisors (71309618958).

115362801801 is an frugal number, since it uses more digits than its factorization.

115362801801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Multiplying 115362801801 by its sum of digits (36), we get a square (4153060864836 = 2037906²).

The spelling of 115362801801 in words is "one hundred fifteen billion, three hundred sixty-two million, eight hundred one thousand, eight hundred one".