205709585146 has 16 divisors (see below), whose sum is σ = 332793886824. Its totient is φ = 94801803264.

The previous prime is 205709585119. The next prime is 205709585167. The reversal of 205709585146 is 641585907502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 165314614921 + 40394970225 = 406589^2 + 200985^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205709585093 and 205709585102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5860591 + ... + 5895586.

Almost surely, 2^205709585146 is an apocalyptic number.

205709585146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

205709585146 is a deficient number, since it is larger than the sum of its proper divisors (127084301678).

205709585146 is a wasteful number, since it uses less digits than its factorization.

205709585146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756865.

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 205709585146 in words is "two hundred five billion, seven hundred nine million, five hundred eighty-five thousand, one hundred forty-six".