205340151312 has 60 divisors (see below), whose sum is σ = 574724517484. Its totient is φ = 68439893760.

The previous prime is 205340151271. The next prime is 205340151323. The reversal of 205340151312 is 213151043502.

205340151312 is a `hidden beast` number, since 2 + 0 + 5 + 340 + 1 + 5 + 1 + 312 = 666.

205340151312 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 136320454656 + 69019696656 = 369216^2 + 262716^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1498338 + ... + 1629630.

Almost surely, 2^205340151312 is an apocalyptic number.

It is an amenable number.

205340151312 is an abundant number, since it is smaller than the sum of its proper divisors (369384366172).

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

205340151312 is a wasteful number, since it uses less digits than its factorization.

205340151312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142168 (or 142159 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 205340151312 its reverse (213151043502), we get a palindrome (418491194814).

The spelling of 205340151312 in words is "two hundred five billion, three hundred forty million, one hundred fifty-one thousand, three hundred twelve".