23205305243205 has 48 divisors (see below), whose sum is σ = 41011125747696. Its totient is φ = 12133855918080.

The previous prime is 23205305243191. The next prime is 23205305243257. The reversal of 23205305243205 is 50234250350232.

23205305243205 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 5 + 305 + 24 + 320 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2644676052516 + 20560629190689 = 1626246^2 + 4534383^2 .

It is not a de Polignac number, because 23205305243205 - 2⁵ = 23205305243173 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23205305243205.

It is a congruent number.

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, 229012 + ... + 6816381.

It is an arithmetic number, because the mean of its divisors is an integer number (854398453077).

Almost surely, 2^{23205305243205} is an apocalyptic number.

It is an amenable number.

23205305243205 is a deficient number, since it is larger than the sum of its proper divisors (17805820504491).

23205305243205 is a wasteful number, since it uses less digits than its factorization.

23205305243205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7046838 (or 7046835 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 23205305243205 its reverse (50234250350232), we get a palindrome (73439555593437).

The spelling of 23205305243205 in words is "twenty-three trillion, two hundred five billion, three hundred five million, two hundred forty-three thousand, two hundred five".