204945234500832 has 384 divisors, whose sum is σ = 626238223672320. Its totient is φ = 57480888729600.

The previous prime is 204945234500821. The next prime is 204945234500863. The reversal of 204945234500832 is 238005432549402.

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, 7141681108 + ... + 7141709804.

It is an arithmetic number, because the mean of its divisors is an integer number (1630828707480).

Almost surely, 2^{204945234500832} 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 204945234500832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313119111836160).

204945234500832 is an abundant number, since it is smaller than the sum of its proper divisors (421292989171488).

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

204945234500832 is a wasteful number, since it uses less digits than its factorization.

204945234500832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29714 (or 29706 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 204945234500832 in words is "two hundred four trillion, nine hundred forty-five billion, two hundred thirty-four million, five hundred thousand, eight hundred thirty-two".