204114004224 has 72 divisors (see below), whose sum is σ = 585028708992. Its totient is φ = 62804305920.

The previous prime is 204114004207. The next prime is 204114004253. The reversal of 204114004224 is 422400411402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 204114004194 and 204114004203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10212072 + ... + 10232039.

It is an arithmetic number, because the mean of its divisors is an integer number (8125398736).

Almost surely, 2^204114004224 is an apocalyptic number.

204114004224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204114004224 is an abundant number, since it is smaller than the sum of its proper divisors (380914704768).

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

204114004224 is a wasteful number, since it uses less digits than its factorization.

204114004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20444143 (or 20444129 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204114004224 its reverse (422400411402), we get a palindrome (626514415626).

The spelling of 204114004224 in words is "two hundred four billion, one hundred fourteen million, four thousand, two hundred twenty-four".