204813815808 has 312 divisors, whose sum is σ = 644871794592. Its totient is φ = 57633472512.

The previous prime is 204813815803. The next prime is 204813815819. The reversal of 204813815808 is 808518318402.

204813815808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204813815803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40338966 + ... + 40344042.

Almost surely, 2^204813815808 is an apocalyptic number.

204813815808 is a gapful number since it is divisible by the number (28) 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 204813815808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322435897296).

204813815808 is an abundant number, since it is smaller than the sum of its proper divisors (440057978784).

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

204813815808 is an equidigital number, since it uses as much as digits as its factorization.

204813815808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 204813815808 in words is "two hundred four billion, eight hundred thirteen million, eight hundred fifteen thousand, eight hundred eight".