204116011264 has 243 divisors, whose sum is σ = 478906104873. Its totient is φ = 86744064000.

The previous prime is 204116011243. The next prime is 204116011283. The reversal of 204116011264 is 462110611402.

The square root of 204116011264 is 451792.

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

It can be written as a sum of positive squares in only one way, i.e., 158913849600 + 45202161664 = 398640^2 + 212608^2 .

It is a Duffinian number.

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, 1351761589 + ... + 1351761739.

Almost surely, 2^204116011264 is an apocalyptic number.

204116011264 is the 451792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204116011264

204116011264 is an abundant number, since it is smaller than the sum of its proper divisors (274790093609).

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

204116011264 is an equidigital number, since it uses as much as digits as its factorization.

204116011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 204116011264 by its product of nonzero digits (2304), we get a square (470283289952256 = 21686016²).

Adding to 204116011264 its reverse (462110611402), we get a palindrome (666226622666).

The spelling of 204116011264 in words is "two hundred four billion, one hundred sixteen million, eleven thousand, two hundred sixty-four".