18390588980625 has 45 divisors (see below), whose sum is σ = 33195184978813. Its totient is φ = 9808142586000.

The previous prime is 18390588980581. The next prime is 18390588980633. The reversal of 18390588980625 is 52608988509381.

The square root of 18390588980625 is 4288425.

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

18390588980625 is a `hidden beast` number, since 1 + 8 + 39 + 0 + 588 + 9 + 8 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1441822176081 + 16948766804544 = 1200759^2 + 4116888^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 18390588980625 - 2¹³ = 18390588972433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 321603286 + ... + 321660464.

Almost surely, 2^{18390588980625} is an apocalyptic number.

18390588980625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18390588980625 is the 4288425-th square number.

18390588980625 is the 2144213-rd centered octagonal number.

It is an amenable number.

18390588980625 is a deficient number, since it is larger than the sum of its proper divisors (14804595998188).

18390588980625 is an frugal number, since it uses more digits than its factorization.

18390588980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114384 (or 57187 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 18390588980625 in words is "eighteen trillion, three hundred ninety billion, five hundred eighty-eight million, nine hundred eighty thousand, six hundred twenty-five".