204894131904 has 504 divisors, whose sum is σ = 772918106688. Its totient is φ = 53217077760.

The previous prime is 204894131887. The next prime is 204894131929. The reversal of 204894131904 is 409131498402.

204894131904 is a `hidden beast` number, since 2 + 0 + 48 + 9 + 413 + 190 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 204894131904.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8370307 + ... + 8394749.

It is an arithmetic number, because the mean of its divisors is an integer number (1533567672).

Almost surely, 2^204894131904 is an apocalyptic number.

204894131904 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 204894131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386459053344).

204894131904 is an abundant number, since it is smaller than the sum of its proper divisors (568023974784).

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

204894131904 is a wasteful number, since it uses less digits than its factorization.

204894131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24495 (or 24466 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 204894131904 in words is "two hundred four billion, eight hundred ninety-four million, one hundred thirty-one thousand, nine hundred four".