204950227786128 has 480 divisors, whose sum is σ = 646269798407040. Its totient is φ = 61672939776000.

The previous prime is 204950227786121. The next prime is 204950227786169. The reversal of 204950227786128 is 821687722059402.

204950227786128 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 5 + 0 + 2 + 2 + 7 + 7 + 8 + 612 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (204950227786121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173539565698 + ... + 173539566878.

It is an arithmetic number, because the mean of its divisors is an integer number (1346395413348).

Almost surely, 2^{204950227786128} 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 204950227786128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323134899203520).

204950227786128 is an abundant number, since it is smaller than the sum of its proper divisors (441319570620912).

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

204950227786128 is a wasteful number, since it uses less digits than its factorization.

204950227786128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 204950227786128 in words is "two hundred four trillion, nine hundred fifty billion, two hundred twenty-seven million, seven hundred eighty-six thousand, one hundred twenty-eight".