204429876368256 has 4096 divisors, whose sum is σ = 839429775360000. Its totient is φ = 48007456358400.

The previous prime is 204429876368231. The next prime is 204429876368309. The reversal of 204429876368256 is 652863678924402.

204429876368256 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 9 + 8 + 7 + 6 + 368 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 848256748296 + ... + 848256748536.

It is an arithmetic number, because the mean of its divisors is an integer number (204938910000).

Almost surely, 2^{204429876368256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204429876368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419714887680000).

204429876368256 is an abundant number, since it is smaller than the sum of its proper divisors (634999898991744).

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

204429876368256 is a wasteful number, since it uses less digits than its factorization.

204429876368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 204429876368256 in words is "two hundred four trillion, four hundred twenty-nine billion, eight hundred seventy-six million, three hundred sixty-eight thousand, two hundred fifty-six".