204304191972192 has 384 divisors, whose sum is σ = 657989918853120. Its totient is φ = 61280160768000.

The previous prime is 204304191972187. The next prime is 204304191972227. The reversal of 204304191972192 is 291279191403402.

204304191972192 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 0 + 419 + 1 + 9 + 7 + 219 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131732968 + ... + 133274840.

It is an arithmetic number, because the mean of its divisors is an integer number (1713515413680).

Almost surely, 2^{204304191972192} 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 204304191972192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328994959426560).

204304191972192 is an abundant number, since it is smaller than the sum of its proper divisors (453685726880928).

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

204304191972192 is a wasteful number, since it uses less digits than its factorization.

204304191972192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542203 (or 1542189 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 204304191972192 in words is "two hundred four trillion, three hundred four billion, one hundred ninety-one million, nine hundred seventy-two thousand, one hundred ninety-two".