204089636016 has 400 divisors, whose sum is σ = 683794456576. Its totient is φ = 57563799552.

The previous prime is 204089635969. The next prime is 204089636017. The reversal of 204089636016 is 610636980402.

204089636016 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 8 + 9 + 636 + 0 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (204089636017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 353707920 + ... + 353708496.

Almost surely, 2^204089636016 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 204089636016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341897228288).

204089636016 is an abundant number, since it is smaller than the sum of its proper divisors (479704820560).

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

204089636016 is a wasteful number, since it uses less digits than its factorization.

204089636016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 204089636016 in words is "two hundred four billion, eighty-nine million, six hundred thirty-six thousand, sixteen".