204540916644 has 27 divisors (see below), whose sum is σ = 517040843137. Its totient is φ = 68179401024.

The previous prime is 204540916631. The next prime is 204540916649. The reversal of 204540916644 is 446619045402.

The square root of 204540916644 is 452262.

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

204540916644 is a `hidden beast` number, since 2 + 0 + 4 + 540 + 9 + 1 + 66 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 184066740900 + 20474175744 = 429030^2 + 143088^2 .

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 204540916644.

It is not an unprimeable number, because it can be changed into a prime (204540916649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2675884 + ... + 2751260.

Almost surely, 2^204540916644 is an apocalyptic number.

204540916644 is the 452262-nd square number.

It is an amenable number.

204540916644 is an abundant number, since it is smaller than the sum of its proper divisors (312499926493).

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

204540916644 is an frugal number, since it uses more digits than its factorization.

204540916644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150764 (or 75382 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 204540916644 in words is "two hundred four billion, five hundred forty million, nine hundred sixteen thousand, six hundred forty-four".