204938698104 has 384 divisors, whose sum is σ = 683336908800. Its totient is φ = 56326389120.

The previous prime is 204938698093. The next prime is 204938698213. The reversal of 204938698104 is 401896839402.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37732269 + ... + 37737699.

It is an arithmetic number, because the mean of its divisors is an integer number (1779523200).

Almost surely, 2^204938698104 is an apocalyptic number.

204938698104 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 204938698104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341668454400).

204938698104 is an abundant number, since it is smaller than the sum of its proper divisors (478398210696).

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

204938698104 is a wasteful number, since it uses less digits than its factorization.

204938698104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 204938698104 in words is "two hundred four billion, nine hundred thirty-eight million, six hundred ninety-eight thousand, one hundred four".