204552843264 has 1248 divisors, whose sum is σ = 814027608576. Its totient is φ = 49686773760.

The previous prime is 204552843259. The next prime is 204552843301. The reversal of 204552843264 is 462348255402.

It is a happy number.

204552843264 is a `hidden beast` number, since 2 + 0 + 4 + 552 + 8 + 4 + 32 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1302884274 + ... + 1302884430.

It is an arithmetic number, because the mean of its divisors is an integer number (652265712).

Almost surely, 2^204552843264 is an apocalyptic number.

204552843264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204552843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407013804288).

204552843264 is an abundant number, since it is smaller than the sum of its proper divisors (609474765312).

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

204552843264 is a wasteful number, since it uses less digits than its factorization.

204552843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 204552843264 in words is "two hundred four billion, five hundred fifty-two million, eight hundred forty-three thousand, two hundred sixty-four".