204863967616 has 128 divisors (see below), whose sum is σ = 509090780160. Its totient is φ = 79776890880.

The previous prime is 204863967601. The next prime is 204863967619. The reversal of 204863967616 is 616769368402.

It is a happy number.

204863967616 is digitally balanced in base 3, 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 (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204863967619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26183481 + ... + 26191303.

It is an arithmetic number, because the mean of its divisors is an integer number (3977271720).

Almost surely, 2^204863967616 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 204863967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254545390080).

204863967616 is an abundant number, since it is smaller than the sum of its proper divisors (304226812544).

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

204863967616 is a wasteful number, since it uses less digits than its factorization.

204863967616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10512 (or 10500 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 204863967616 in words is "two hundred four billion, eight hundred sixty-three million, nine hundred sixty-seven thousand, six hundred sixteen".