18172103265625 has 63 divisors (see below), whose sum is σ = 23104317288297. Its totient is φ = 14292567300000.

The previous prime is 18172103265599. The next prime is 18172103265637. The reversal of 18172103265625 is 52656230127181.

The square root of 18172103265625 is 4262875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 18034129648921 + 137973616704 = 4246661^2 + 371448^2 .

It is not a de Polignac number, because 18172103265625 - 2²³ = 18172094877017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 35701577871 + ... + 35701578379.

Almost surely, 2^{18172103265625} is an apocalyptic number.

18172103265625 is the 4262875-th square number.

18172103265625 is the 2131438-th centered octagonal number.

It is an amenable number.

18172103265625 is a deficient number, since it is larger than the sum of its proper divisors (4932214022672).

18172103265625 is an frugal number, since it uses more digits than its factorization.

18172103265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 18172103265625 by its sum of digits (49), we get a square (890433060015625 = 29840125²).

The spelling of 18172103265625 in words is "eighteen trillion, one hundred seventy-two billion, one hundred three million, two hundred sixty-five thousand, six hundred twenty-five".