208664412804 has 81 divisors (see below), whose sum is σ = 556818236247. Its totient is φ = 65877580368.

The previous prime is 208664412763. The next prime is 208664412863. The reversal of 208664412804 is 408214466802.

The square root of 208664412804 is 456798.

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

208664412804 is a `hidden beast` number, since 20 + 86 + 64 + 412 + 80 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 208664412804.

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, 52072969 + ... + 52076975.

Almost surely, 2^208664412804 is an apocalyptic number.

208664412804 is the 456798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208664412804

208664412804 is an abundant number, since it is smaller than the sum of its proper divisors (348153823443).

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

208664412804 is an equidigital number, since it uses as much as digits as its factorization.

208664412804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 208664412804 in words is "two hundred eight billion, six hundred sixty-four million, four hundred twelve thousand, eight hundred four".