361023125904 has 405 divisors, whose sum is σ = 1232606608779. Its totient is φ = 98347455360.

The previous prime is 361023125891. The next prime is 361023125921. The reversal of 361023125904 is 409521320163.

The square root of 361023125904 is 600852.

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

361023125904 is a `hidden beast` number, since 3 + 61 + 0 + 2 + 3 + 1 + 2 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1160845909 + ... + 1160846219.

Almost surely, 2^361023125904 is an apocalyptic number.

361023125904 is the 600852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361023125904

361023125904 is an abundant number, since it is smaller than the sum of its proper divisors (871583482875).

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

361023125904 is a wasteful number, since it uses less digits than its factorization.

361023125904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 361023125904 by its sum of digits (36), we get a square (12996832532544 = 3605112²).

361023125904 divided by its sum of digits (36) gives a square (10028420164 = 100142²).

The spelling of 361023125904 in words is "three hundred sixty-one billion, twenty-three million, one hundred twenty-five thousand, nine hundred four".