204946840224 has 180 divisors, whose sum is σ = 701150413194. Its totient is φ = 58556203776.

The previous prime is 204946840223. The next prime is 204946840247. The reversal of 204946840224 is 422048649402.

It can be written as a sum of positive squares in only one way, i.e., 196486519824 + 8460320400 = 443268^2 + 91980^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204946840224.

It is not an unprimeable number, because it can be changed into a prime (204946840223) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 679819 + ... + 933834.

Almost surely, 2^204946840224 is an apocalyptic number.

204946840224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204946840224 is an abundant number, since it is smaller than the sum of its proper divisors (496203572970).

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

204946840224 is a wasteful number, since it uses less digits than its factorization.

204946840224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613689 (or 1613665 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 204946840224 in words is "two hundred four billion, nine hundred forty-six million, eight hundred forty thousand, two hundred twenty-four".