205340431545 has 48 divisors (see below), whose sum is σ = 362928310992. Its totient is φ = 107362844160.

The previous prime is 205340431537. The next prime is 205340431561. The reversal of 205340431545 is 545134043502.

205340431545 is a `hidden beast` number, since 20 + 53 + 4 + 0 + 43 + 1 + 545 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6463677609 + 198876753936 = 80397^2 + 445956^2 .

It is not a de Polignac number, because 205340431545 - 2³ = 205340431537 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3011935 + ... + 3079355.

It is an arithmetic number, because the mean of its divisors is an integer number (7561006479).

Almost surely, 2^205340431545 is an apocalyptic number.

It is an amenable number.

205340431545 is a deficient number, since it is larger than the sum of its proper divisors (157587879447).

205340431545 is a wasteful number, since it uses less digits than its factorization.

205340431545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68762 (or 68759 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 205340431545 in words is "two hundred five billion, three hundred forty million, four hundred thirty-one thousand, five hundred forty-five".