204312334224 has 80 divisors (see below), whose sum is σ = 541020997440. Its totient is φ = 66401157120.

The previous prime is 204312334211. The next prime is 204312334249. The reversal of 204312334224 is 422433213402.

It is a junction number, because it is equal to n+sod(n) for n = 204312334191 and 204312334200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3170032 + ... + 3233840.

It is an arithmetic number, because the mean of its divisors is an integer number (6762762468).

Almost surely, 2^204312334224 is an apocalyptic number.

204312334224 is a gapful number since it is divisible by the number (24) 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 204312334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270510498720).

204312334224 is an abundant number, since it is smaller than the sum of its proper divisors (336708663216).

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

204312334224 is a wasteful number, since it uses less digits than its factorization.

204312334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65488 (or 65482 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 204312334224 its reverse (422433213402), we get a palindrome (626745547626).

The spelling of 204312334224 in words is "two hundred four billion, three hundred twelve million, three hundred thirty-four thousand, two hundred twenty-four".