23105534335249 has 2 divisors, whose sum is σ = 23105534335250. Its totient is φ = 23105534335248.

The previous prime is 23105534335069. The next prime is 23105534335283. The reversal of 23105534335249 is 94253343550132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19404624084624 + 3700910250625 = 4405068^2 + 1923775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-23105534335249 is a prime.

It is not a weakly prime, because it can be changed into another prime (23105534336249) by changing a digit.

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 as a sum of consecutive naturals, namely, 11552767167624 + 11552767167625.

It is an arithmetic number, because the mean of its divisors is an integer number (11552767167625).

Almost surely, 2^{23105534335249} is an apocalyptic number.

It is an amenable number.

23105534335249 is a deficient number, since it is larger than the sum of its proper divisors (1).

23105534335249 is an equidigital number, since it uses as much as digits as its factorization.

23105534335249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832000, while the sum is 49.

The spelling of 23105534335249 in words is "twenty-three trillion, one hundred five billion, five hundred thirty-four million, three hundred thirty-five thousand, two hundred forty-nine".