204997128336 has 2160 divisors, whose sum is σ = 900411744960. Its totient is φ = 42639851520.

The previous prime is 204997128289. The next prime is 204997128367. The reversal of 204997128336 is 633821799402.

204997128336 is a `hidden beast` number, since 2 + 0 + 499 + 71 + 2 + 83 + 3 + 6 = 666.

204997128336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5540462910 + ... + 5540462946.

Almost surely, 2^204997128336 is an apocalyptic number.

204997128336 is a gapful number since it is divisible by the number (26) 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 204997128336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450205872480).

204997128336 is an abundant number, since it is smaller than the sum of its proper divisors (695414616624).

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

204997128336 is a wasteful number, since it uses less digits than its factorization.

204997128336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

It can be divided in two parts, 204997 and 128336, that added together give a palindrome (333333).

The spelling of 204997128336 in words is "two hundred four billion, nine hundred ninety-seven million, one hundred twenty-eight thousand, three hundred thirty-six".