205345122323 has 96 divisors (see below), whose sum is σ = 253306310400. Its totient is φ = 164517696000.

The previous prime is 205345122317. The next prime is 205345122347. The reversal of 205345122323 is 323221543502.

It is not a de Polignac number, because 205345122323 - 2⁸ = 205345122067 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205345122323.

It is not an unprimeable number, because it can be changed into a prime (205345122383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763364633 + ... + 763364901.

It is an arithmetic number, because the mean of its divisors is an integer number (2638607400).

Almost surely, 2^205345122323 is an apocalyptic number.

205345122323 is a deficient number, since it is larger than the sum of its proper divisors (47961188077).

205345122323 is a wasteful number, since it uses less digits than its factorization.

205345122323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 205345122323 its reverse (323221543502), we get a palindrome (528566665825).

The spelling of 205345122323 in words is "two hundred five billion, three hundred forty-five million, one hundred twenty-two thousand, three hundred twenty-three".