18575509264 has 45 divisors (see below), whose sum is σ = 38986347999. Its totient is φ = 8570040960.

The previous prime is 18575509259. The next prime is 18575509273. The reversal of 18575509264 is 46290557581.

It is a happy number.

The square root of 18575509264 is 136292.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27248400 + 18548260864 = 5220^2 + 136192^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7085874 + ... + 7088494.

Almost surely, 2^18575509264 is an apocalyptic number.

18575509264 is the 136292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18575509264

18575509264 is an abundant number, since it is smaller than the sum of its proper divisors (20410838735).

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

18575509264 is an frugal number, since it uses more digits than its factorization.

18575509264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 18575509264 in words is "eighteen billion, five hundred seventy-five million, five hundred nine thousand, two hundred sixty-four".