18816980625 has 135 divisors (see below), whose sum is σ = 35700110589. Its totient is φ = 9547380000.

The previous prime is 18816980597. The next prime is 18816980641. The reversal of 18816980625 is 52608961881.

It is a happy number.

The square root of 18816980625 is 137175.

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

18816980625 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 6 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1475251281 + 17341729344 = 38409^2 + 131688^2 .

It is not a de Polignac number, because 18816980625 - 2²¹ = 18814883473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 318931846 + ... + 318931904.

Almost surely, 2^18816980625 is an apocalyptic number.

18816980625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18816980625 is the 137175-th square number.

18816980625 is the 68588-th centered octagonal number.

It is an amenable number.

18816980625 is a deficient number, since it is larger than the sum of its proper divisors (16883129964).

18816980625 is an frugal number, since it uses more digits than its factorization.

18816980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 18816980625 in words is "eighteen billion, eight hundred sixteen million, nine hundred eighty thousand, six hundred twenty-five".