204609371904 has 432 divisors, whose sum is σ = 715530816000. Its totient is φ = 54964445184.

The previous prime is 204609371867. The next prime is 204609371929. The reversal of 204609371904 is 409173906402.

It is a happy number.

204609371904 is a `hidden beast` number, since 2 + 0 + 4 + 609 + 37 + 1 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 204609371904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21881022 + ... + 21890370.

Almost surely, 2^204609371904 is an apocalyptic number.

204609371904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204609371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357765408000).

204609371904 is an abundant number, since it is smaller than the sum of its proper divisors (510921444096).

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

204609371904 is a wasteful number, since it uses less digits than its factorization.

204609371904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 204609371904 in words is "two hundred four billion, six hundred nine million, three hundred seventy-one thousand, nine hundred four".