18208782480625 has 135 divisors (see below), whose sum is σ = 25538449805869. Its totient is φ = 12968798260000.

The previous prime is 18208782480619. The next prime is 18208782480671. The reversal of 18208782480625 is 52608428780281.

The square root of 18208782480625 is 4267175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1427568546481 + 16781213934144 = 1194809^2 + 4096488^2 .

It is not a de Polignac number, because 18208782480625 - 2¹⁵ = 18208782447857 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 69234914244 + ... + 69234914506.

Almost surely, 2^{18208782480625} is an apocalyptic number.

18208782480625 is the 4267175-th square number.

18208782480625 is the 2133588-th centered octagonal number.

It is an amenable number.

18208782480625 is a deficient number, since it is larger than the sum of its proper divisors (7329667325244).

18208782480625 is an frugal number, since it uses more digits than its factorization.

18208782480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 61.

The spelling of 18208782480625 in words is "eighteen trillion, two hundred eight billion, seven hundred eighty-two million, four hundred eighty thousand, six hundred twenty-five".