204788831296 has 63 divisors (see below), whose sum is σ = 472783744677. Its totient is φ = 87755781120.

The previous prime is 204788831281. The next prime is 204788831339. The reversal of 204788831296 is 692138887402.

It is a happy number.

The square root of 204788831296 is 452536.

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

204788831296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 69835461696 + 134953369600 = 264264^2 + 367360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 204788831296.

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 8 ways as a sum of consecutive naturals, for example, 25337976 + ... + 25346056.

Almost surely, 2^204788831296 is an apocalyptic number.

204788831296 is the 452536-th square number.

It is an amenable number.

204788831296 is an abundant number, since it is smaller than the sum of its proper divisors (267994913381).

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

204788831296 is an frugal number, since it uses more digits than its factorization.

204788831296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 204788831296 in words is "two hundred four billion, seven hundred eighty-eight million, eight hundred thirty-one thousand, two hundred ninety-six".