204961328208 has 960 divisors, whose sum is σ = 775270379520. Its totient is φ = 50943873024.

The previous prime is 204961328197. The next prime is 204961328227. The reversal of 204961328208 is 802823169402.

204961328208 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 613 + 2 + 8 + 20 + 8 = 666.

204961328208 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 724244835 + ... + 724245117.

It is an arithmetic number, because the mean of its divisors is an integer number (807573312).

Almost surely, 2^204961328208 is an apocalyptic number.

204961328208 is a gapful number since it is divisible by the number (28) 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 204961328208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387635189760).

204961328208 is an abundant number, since it is smaller than the sum of its proper divisors (570309051312).

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

204961328208 is a wasteful number, since it uses less digits than its factorization.

204961328208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 204961328208 in words is "two hundred four billion, nine hundred sixty-one million, three hundred twenty-eight thousand, two hundred eight".