18258765625 has 63 divisors (see below), whose sum is σ = 24377051251. Its totient is φ = 13674650000.

The previous prime is 18258765529. The next prime is 18258765631. The reversal of 18258765625 is 52656785281.

The square root of 18258765625 is 135125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 15996431529 + 2262334096 = 126477^2 + 47564^2 .

It is not a de Polignac number, because 18258765625 - 2¹⁷ = 18258634553 is a prime.

It is a Duffinian number.

Its product of digits (8064000) is a multiple of the sum of its prime divisors (75).

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, 388484352 + ... + 388484398.

Almost surely, 2^18258765625 is an apocalyptic number.

18258765625 is the 135125-th square number.

18258765625 is the 67563-rd centered octagonal number.

It is an amenable number.

18258765625 is a deficient number, since it is larger than the sum of its proper divisors (6118285626).

18258765625 is an frugal number, since it uses more digits than its factorization.

18258765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 75 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 55.

The spelling of 18258765625 in words is "eighteen billion, two hundred fifty-eight million, seven hundred sixty-five thousand, six hundred twenty-five".