204261691964608 has 224 divisors, whose sum is σ = 439744598507520. Its totient is φ = 93859565184000.

The previous prime is 204261691964597. The next prime is 204261691964611. The reversal of 204261691964608 is 806469196162402.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 204261691964608.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5154068953 + ... + 5154108583.

Almost surely, 2^{204261691964608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204261691964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219872299253760).

204261691964608 is an abundant number, since it is smaller than the sum of its proper divisors (235482906542912).

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

204261691964608 is a wasteful number, since it uses less digits than its factorization.

204261691964608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40507 (or 40497 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

The spelling of 204261691964608 in words is "two hundred four trillion, two hundred sixty-one billion, six hundred ninety-one million, nine hundred sixty-four thousand, six hundred eight".