18002125584 has 75 divisors (see below), whose sum is σ = 52117358007. Its totient is φ = 5999098464.

The previous prime is 18002125577. The next prime is 18002125621. The reversal of 18002125584 is 48552120081.

The square root of 18002125584 is 134172.

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

18002125584 is a `hidden beast` number, since 1 + 80 + 0 + 21 + 2 + 558 + 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 14 ways as a sum of consecutive naturals, for example, 4828329 + ... + 4832055.

Almost surely, 2^18002125584 is an apocalyptic number.

18002125584 is the 134172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18002125584

18002125584 is an abundant number, since it is smaller than the sum of its proper divisors (34115232423).

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

18002125584 is an frugal number, since it uses more digits than its factorization.

18002125584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 18002125584 by its sum of digits (36), we get a square (648076521024 = 805032²).

18002125584 divided by its sum of digits (36) gives a square (500059044 = 22362²).

Multiplying 18002125584 by its product of nonzero digits (25600), we get a square (460854414950400 = 21467520²).

The spelling of 18002125584 in words is "eighteen billion, two million, one hundred twenty-five thousand, five hundred eighty-four".