204829341696 has 432 divisors, whose sum is σ = 707005943280. Its totient is φ = 55959552000.

The previous prime is 204829341667. The next prime is 204829341697. The reversal of 204829341696 is 696143928402.

204829341696 is a `hidden beast` number, since 204 + 8 + 2 + 9 + 341 + 6 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204829341697) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 68252196 + ... + 68255196.

Almost surely, 2^204829341696 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 204829341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353502971640).

204829341696 is an abundant number, since it is smaller than the sum of its proper divisors (502176601584).

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

204829341696 is a wasteful number, since it uses less digits than its factorization.

204829341696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 204829341696 in words is "two hundred four billion, eight hundred twenty-nine million, three hundred forty-one thousand, six hundred ninety-six".