204344300160 has 2304 divisors, whose sum is σ = 991950261120. Its totient is φ = 38087884800.

The previous prime is 204344300143. The next prime is 204344300179. The reversal of 204344300160 is 61003443402.

204344300160 is a `hidden beast` number, since 2 + 0 + 4 + 344 + 300 + 16 + 0 = 666.

204344300160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2461979479 + ... + 2461979561.

Almost surely, 2^204344300160 is an apocalyptic number.

204344300160 is a gapful number since it is divisible by the number (20) 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 204344300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495975130560).

204344300160 is an abundant number, since it is smaller than the sum of its proper divisors (787605960960).

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

204344300160 is a wasteful number, since it uses less digits than its factorization.

204344300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 204344300160 its reverse (61003443402), we get a palindrome (265347743562).

The spelling of 204344300160 in words is "two hundred four billion, three hundred forty-four million, three hundred thousand, one hundred sixty".