204313214444000 has 384 divisors, whose sum is σ = 530499903897600. Its totient is φ = 77119543756800.

The previous prime is 204313214443903. The next prime is 204313214444047. The reversal of 204313214444000 is 444412313402.

204313214444000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24130527767 + ... + 24130536233.

It is an arithmetic number, because the mean of its divisors is an integer number (1381510166400).

Almost surely, 2^{204313214444000} is an apocalyptic number.

204313214444000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204313214444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265249951948800).

204313214444000 is an abundant number, since it is smaller than the sum of its proper divisors (326186689453600).

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

204313214444000 is a wasteful number, since it uses less digits than its factorization.

204313214444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 204313214444000 its reverse (444412313402), we get a palindrome (204757626757402).

The spelling of 204313214444000 in words is "two hundred four trillion, three hundred thirteen billion, two hundred fourteen million, four hundred forty-four thousand".