18584505625 has 135 divisors (see below), whose sum is σ = 29223763371. Its totient is φ = 11778480000.

The previous prime is 18584505617. The next prime is 18584505631. The reversal of 18584505625 is 52650548581.

The square root of 18584505625 is 136325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18512051481 + 72454144 = 136059^2 + 8512^2 .

It is not a de Polignac number, because 18584505625 - 2³ = 18584505617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 453280605 + ... + 453280645.

Almost surely, 2^18584505625 is an apocalyptic number.

18584505625 is the 136325-th square number.

18584505625 is the 68163-rd centered octagonal number.

It is an amenable number.

18584505625 is a deficient number, since it is larger than the sum of its proper divisors (10639257746).

18584505625 is an frugal number, since it uses more digits than its factorization.

18584505625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 49.

Multiplying 18584505625 by its sum of digits (49), we get a square (910640775625 = 954275²).

18584505625 divided by its sum of digits (49) gives a square (379275625 = 19475²).

The spelling of 18584505625 in words is "eighteen billion, five hundred eighty-four million, five hundred five thousand, six hundred twenty-five".