204857429874608 has 120 divisors (see below), whose sum is σ = 471665940889680. Its totient is φ = 85912224652800.

The previous prime is 204857429874563. The next prime is 204857429874641. The reversal of 204857429874608 is 806478924758402.

204857429874608 is digitally balanced in base 3, 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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9244058 + ... + 22252358.

It is an arithmetic number, because the mean of its divisors is an integer number (3930549507414).

Almost surely, 2^{204857429874608} is an apocalyptic number.

204857429874608 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 204857429874608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235832970444840).

204857429874608 is an abundant number, since it is smaller than the sum of its proper divisors (266808511015072).

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

204857429874608 is a wasteful number, since it uses less digits than its factorization.

204857429874608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008755 (or 13008742 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 74.

The spelling of 204857429874608 in words is "two hundred four trillion, eight hundred fifty-seven billion, four hundred twenty-nine million, eight hundred seventy-four thousand, six hundred eight".