204506991973632 has 288 divisors, whose sum is σ = 558223248675456. Its totient is φ = 66446534246400.

The previous prime is 204506991973547. The next prime is 204506991973643. The reversal of 204506991973632 is 236379199605402.

It is a super-2 number, since 2×204506991973632² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2303143828 + ... + 2303232620.

It is an arithmetic number, because the mean of its divisors is an integer number (1938275169012).

Almost surely, 2^{204506991973632} 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 204506991973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279111624337728).

204506991973632 is an abundant number, since it is smaller than the sum of its proper divisors (353716256701824).

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

204506991973632 is a wasteful number, since it uses less digits than its factorization.

204506991973632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89317 (or 89303 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 66.

The spelling of 204506991973632 in words is "two hundred four trillion, five hundred six billion, nine hundred ninety-one million, nine hundred seventy-three thousand, six hundred thirty-two".