23221322312249 has 2 divisors, whose sum is σ = 23221322312250. Its totient is φ = 23221322312248.

The previous prime is 23221322312189. The next prime is 23221322312291. The reversal of 23221322312249 is 94221322312232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22733175556624 + 488146755625 = 4767932^2 + 698675^2 .

It is a cyclic number.

It is not a de Polignac number, because 23221322312249 - 2¹⁶ = 23221322246713 is a prime.

It is not a weakly prime, because it can be changed into another prime (23221322314249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11610661156124 + 11610661156125.

It is an arithmetic number, because the mean of its divisors is an integer number (11610661156125).

Almost surely, 2^{23221322312249} is an apocalyptic number.

It is an amenable number.

23221322312249 is a deficient number, since it is larger than the sum of its proper divisors (1).

23221322312249 is an equidigital number, since it uses as much as digits as its factorization.

23221322312249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 38.

The spelling of 23221322312249 in words is "twenty-three trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred forty-nine".