204056539974144 has 5120 divisors, whose sum is σ = 834714574848000. Its totient is φ = 48444604416000.

The previous prime is 204056539974121. The next prime is 204056539974173. The reversal of 204056539974144 is 441479935650402.

204056539974144 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 5 + 6 + 539 + 97 + 4 + 1 + 4 + 4 = 666.

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, 3345189179874 + ... + 3345189179934.

It is an arithmetic number, because the mean of its divisors is an integer number (163030190400).

Almost surely, 2^{204056539974144} is an apocalyptic number.

204056539974144 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 204056539974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417357287424000).

204056539974144 is an abundant number, since it is smaller than the sum of its proper divisors (630658034873856).

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

204056539974144 is a wasteful number, since it uses less digits than its factorization.

204056539974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 204056539974144 in words is "two hundred four trillion, fifty-six billion, five hundred thirty-nine million, nine hundred seventy-four thousand, one hundred forty-four".