205336398768 has 160 divisors (see below), whose sum is σ = 548514892800. Its totient is φ = 66149529600.

The previous prime is 205336398767. The next prime is 205336398791. The reversal of 205336398768 is 867893633502.

It is a happy number.

205336398768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205336398768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205336398767) 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 31 ways as a sum of consecutive naturals, for example, 99243238 + ... + 99245306.

It is an arithmetic number, because the mean of its divisors is an integer number (3428218080).

Almost surely, 2^205336398768 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 205336398768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274257446400).

205336398768 is an abundant number, since it is smaller than the sum of its proper divisors (343178494032).

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

205336398768 is a wasteful number, since it uses less digits than its factorization.

205336398768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 205336398768 in words is "two hundred five billion, three hundred thirty-six million, three hundred ninety-eight thousand, seven hundred sixty-eight".