204115645305 has 256 divisors, whose sum is σ = 465972756480. Its totient is φ = 83201126400.

The previous prime is 204115645267. The next prime is 204115645403. The reversal of 204115645305 is 503546511402.

204115645305 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 1 + 5 + 645 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 204115645305 - 2¹³ = 204115637113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204115645305.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10163704 + ... + 10183766.

It is an arithmetic number, because the mean of its divisors is an integer number (1820206080).

Almost surely, 2^204115645305 is an apocalyptic number.

It is an amenable number.

204115645305 is an abundant number, since it is smaller than the sum of its proper divisors (261857111175).

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

204115645305 is a wasteful number, since it uses less digits than its factorization.

204115645305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20149 (or 20143 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 204115645305 in words is "two hundred four billion, one hundred fifteen million, six hundred forty-five thousand, three hundred five".