204550034024664 has 384 divisors, whose sum is σ = 605390319206400. Its totient is φ = 62155321021440.

The previous prime is 204550034024653. The next prime is 204550034024681. The reversal of 204550034024664 is 466420430055402.

It is a happy number.

204550034024664 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 5 + 0 + 0 + 340 + 246 + 64 = 666.

204550034024664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8066794674 + ... + 8066820030.

It is an arithmetic number, because the mean of its divisors is an integer number (1576537289600).

Almost surely, 2^{204550034024664} is an apocalyptic number.

204550034024664 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 204550034024664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302695159603200).

204550034024664 is an abundant number, since it is smaller than the sum of its proper divisors (400840285181736).

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

204550034024664 is a wasteful number, since it uses less digits than its factorization.

204550034024664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26495 (or 26488 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 204550034024664 in words is "two hundred four trillion, five hundred fifty billion, thirty-four million, twenty-four thousand, six hundred sixty-four".