18696460225 has 81 divisors (see below), whose sum is σ = 25727065819. Its totient is φ = 13476601600.

The previous prime is 18696460219. The next prime is 18696460249. The reversal of 18696460225 is 52206469681.

The square root of 18696460225 is 136735.

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

It can be written as a sum of positive squares in 13 ways, for example, as 18495728001 + 200732224 = 135999^2 + 14168^2 .

It is not a de Polignac number, because 18696460225 - 2³ = 18696460217 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 (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 456011205 + ... + 456011245.

Almost surely, 2^18696460225 is an apocalyptic number.

18696460225 is the 136735-th square number.

18696460225 is the 68368-th centered octagonal number.

It is an amenable number.

18696460225 is a deficient number, since it is larger than the sum of its proper divisors (7030605594).

18696460225 is an equidigital number, since it uses as much as digits as its factorization.

18696460225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 18696460225 by its sum of digits (49), we get a square (916126551025 = 957145²).

The spelling of 18696460225 in words is "eighteen billion, six hundred ninety-six million, four hundred sixty thousand, two hundred twenty-five".