204104904192 has 600 divisors, whose sum is σ = 724077075744. Its totient is φ = 57048219648.

The previous prime is 204104904181. The next prime is 204104904193. The reversal of 204104904192 is 291409401402.

204104904192 is a `hidden beast` number, since 2 + 0 + 41 + 0 + 490 + 41 + 92 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204104904193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95508948 + ... + 95511084.

Almost surely, 2^204104904192 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 204104904192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362038537872).

204104904192 is an abundant number, since it is smaller than the sum of its proper divisors (519972171552).

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

204104904192 is an equidigital number, since it uses as much as digits as its factorization.

204104904192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 204104904192 in words is "two hundred four billion, one hundred four million, nine hundred four thousand, one hundred ninety-two".