204115204224 has 192 divisors, whose sum is σ = 602603033760. Its totient is φ = 66295590912.

The previous prime is 204115204171. The next prime is 204115204259. The reversal of 204115204224 is 422402511402.

It is a happy number.

204115204224 is a `hidden beast` number, since 2 + 0 + 411 + 5 + 20 + 4 + 224 = 666.

204115204224 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 (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6965347 + ... + 6994589.

Almost surely, 2^204115204224 is an apocalyptic number.

204115204224 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 204115204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301301516880).

204115204224 is an abundant number, since it is smaller than the sum of its proper divisors (398487829536).

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

204115204224 is a wasteful number, since it uses less digits than its factorization.

204115204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29419 (or 29404 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 204115204224 its reverse (422402511402), we get a palindrome (626517715626).

The spelling of 204115204224 in words is "two hundred four billion, one hundred fifteen million, two hundred four thousand, two hundred twenty-four".