188208468900 has 81 divisors (see below), whose sum is σ = 589969787043. Its totient is φ = 50185454400.

The previous prime is 188208468857. The next prime is 188208468913. The reversal of 188208468900 is 9864802881.

The square root of 188208468900 is 433830.

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

188208468900 is a `hidden beast` number, since 18 + 82 + 0 + 8 + 468 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78737482404 + 109470986496 = 280602^2 + 330864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13007670 + ... + 13022130.

Almost surely, 2^188208468900 is an apocalyptic number.

188208468900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

188208468900 is the 433830-th square number.

It is an amenable number.

188208468900 is an abundant number, since it is smaller than the sum of its proper divisors (401761318143).

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

188208468900 is an equidigital number, since it uses as much as digits as its factorization.

188208468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28942 (or 14471 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 188208468900 in words is "one hundred eighty-eight billion, two hundred eight million, four hundred sixty-eight thousand, nine hundred".