204331109164 has 288 divisors, whose sum is σ = 486491443200. Its totient is φ = 74200896000.

The previous prime is 204331109161. The next prime is 204331109167. The reversal of 204331109164 is 461901133402.

204331109164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204331109161) and next prime (204331109167).

It is not an unprimeable number, because it can be changed into a prime (204331109161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 426578277 + ... + 426578755.

It is an arithmetic number, because the mean of its divisors is an integer number (1689206400).

Almost surely, 2^204331109164 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 204331109164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243245721600).

204331109164 is an abundant number, since it is smaller than the sum of its proper divisors (282160334036).

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

204331109164 is a wasteful number, since it uses less digits than its factorization.

204331109164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 204331109164 in words is "two hundred four billion, three hundred thirty-one million, one hundred nine thousand, one hundred sixty-four".