368127360225 has 135 divisors (see below), whose sum is σ = 693993991977. Its totient is φ = 192912606720.

The previous prime is 368127360203. The next prime is 368127360229. The reversal of 368127360225 is 522063721863.

The square root of 368127360225 is 606735.

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

368127360225 is a `hidden beast` number, since 3 + 6 + 8 + 12 + 7 + 3 + 602 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13535693649 + 354591666576 = 116343^2 + 595476^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 368127360225 - 2⁵ = 368127360193 is a prime.

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 (368127360229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2648398206 + ... + 2648398344.

Almost surely, 2^368127360225 is an apocalyptic number.

368127360225 is the 606735-th square number.

368127360225 is the 303368-th centered octagonal number.

It is an amenable number.

368127360225 is a deficient number, since it is larger than the sum of its proper divisors (325866631752).

368127360225 is an frugal number, since it uses more digits than its factorization.

368127360225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 368127360225 in words is "three hundred sixty-eight billion, one hundred twenty-seven million, three hundred sixty thousand, two hundred twenty-five".