204638672813472 has 288 divisors, whose sum is σ = 617224547197440. Its totient is φ = 64207807488000.

The previous prime is 204638672813453. The next prime is 204638672813479. The reversal of 204638672813472 is 274318276836402.

204638672813472 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 3 + 8 + 6 + 7 + 281 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (204638672813479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120317404 + ... + 122006372.

It is an arithmetic number, because the mean of its divisors is an integer number (2143140788880).

Almost surely, 2^{204638672813472} 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 204638672813472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308612273598720).

204638672813472 is an abundant number, since it is smaller than the sum of its proper divisors (412585874383968).

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

204638672813472 is a wasteful number, since it uses less digits than its factorization.

204638672813472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689388 (or 1689377 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 204638672813472 in words is "two hundred four trillion, six hundred thirty-eight billion, six hundred seventy-two million, eight hundred thirteen thousand, four hundred seventy-two".