204796142208 has 768 divisors, whose sum is σ = 746761420800. Its totient is φ = 54022256640.

The previous prime is 204796142203. The next prime is 204796142279. The reversal of 204796142208 is 802241697402.

204796142208 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 9 + 614 + 2 + 20 + 8 = 666.

204796142208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204796142203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 534715585 + ... + 534715967.

It is an arithmetic number, because the mean of its divisors is an integer number (972345600).

Almost surely, 2^204796142208 is an apocalyptic number.

204796142208 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 204796142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373380710400).

204796142208 is an abundant number, since it is smaller than the sum of its proper divisors (541965278592).

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

204796142208 is a wasteful number, since it uses less digits than its factorization.

204796142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 204796142208 in words is "two hundred four billion, seven hundred ninety-six million, one hundred forty-two thousand, two hundred eight".