204144330509136 has 280 divisors, whose sum is σ = 593822047289856. Its totient is φ = 67956510332160.

The previous prime is 204144330509033. The next prime is 204144330509149. The reversal of 204144330509136 is 631905033441402.

204144330509136 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 4 + 3 + 3 + 0 + 509 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204144330509091 and 204144330509100.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 48000075586 + ... + 48000079838.

Almost surely, 2^{204144330509136} 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 204144330509136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296911023644928).

204144330509136 is an abundant number, since it is smaller than the sum of its proper divisors (389677716780720).

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

204144330509136 is a wasteful number, since it uses less digits than its factorization.

204144330509136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8853 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 204144330509136 in words is "two hundred four trillion, one hundred forty-four billion, three hundred thirty million, five hundred nine thousand, one hundred thirty-six".