204114131003024 has 160 divisors (see below), whose sum is σ = 433704150907776. Its totient is φ = 92290183004160.

The previous prime is 204114131003017. The next prime is 204114131003071. The reversal of 204114131003024 is 420300131411402.

It is a junction number, because it is equal to n+sod(n) for n = 204114131002984 and 204114131003002.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56121562934 + ... + 56121566570.

Almost surely, 2^{204114131003024} 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 204114131003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216852075453888).

204114131003024 is an abundant number, since it is smaller than the sum of its proper divisors (229590019904752).

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

204114131003024 is a wasteful number, since it uses less digits than its factorization.

204114131003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 204114131003024 its reverse (420300131411402), we get a palindrome (624414262414426).

The spelling of 204114131003024 in words is "two hundred four trillion, one hundred fourteen billion, one hundred thirty-one million, three thousand, twenty-four".