205161134011146 has 24 divisors (see below), whose sum is σ = 448916936800644. Its totient is φ = 67709945217600.

The previous prime is 205161134011003. The next prime is 205161134011241. The reversal of 205161134011146 is 641110431161502.

205161134011146 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 611 + 34 + 0 + 1 + 1 + 1 + 4 + 6 = 666.

205161134011146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 167665853502225 + 37495280508921 = 12948585^2 + 6123339^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205161134011146.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56424952531 + ... + 56424956166.

Almost surely, 2^{205161134011146} is an apocalyptic number.

205161134011146 is an abundant number, since it is smaller than the sum of its proper divisors (243755802789498).

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

205161134011146 is a wasteful number, since it uses less digits than its factorization.

205161134011146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112849908806 (or 112849908803 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 205161134011146 its reverse (641110431161502), we get a palindrome (846271565172648).

The spelling of 205161134011146 in words is "two hundred five trillion, one hundred sixty-one billion, one hundred thirty-four million, eleven thousand, one hundred forty-six".