204668942112 has 288 divisors, whose sum is σ = 640166042880. Its totient is φ = 61737984000.

The previous prime is 204668942087. The next prime is 204668942207. The reversal of 204668942112 is 211249866402.

It is a happy number.

204668942112 is a `hidden beast` number, since 204 + 6 + 6 + 8 + 9 + 421 + 12 = 666.

204668942112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35635113 + ... + 35640855.

It is an arithmetic number, because the mean of its divisors is an integer number (2222798760).

Almost surely, 2^204668942112 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 204668942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320083021440).

204668942112 is an abundant number, since it is smaller than the sum of its proper divisors (435497100768).

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

204668942112 is a wasteful number, since it uses less digits than its factorization.

204668942112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 204668942112 in words is "two hundred four billion, six hundred sixty-eight million, nine hundred forty-two thousand, one hundred twelve".