22665237808769 has 2 divisors, whose sum is σ = 22665237808770. Its totient is φ = 22665237808768.

The previous prime is 22665237808721. The next prime is 22665237808771. The reversal of 22665237808769 is 96780873256622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22652078736400 + 13159072369 = 4759420^2 + 114713^2 .

It is a cyclic number.

It is not a de Polignac number, because 22665237808769 - 2³⁶ = 22596518332033 is a prime.

It is a super-2 number, since 2×22665237808769² (a number of 28 digits) contains 22 as substring.

Together with 22665237808771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22665237808669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11332618904384 + 11332618904385.

It is an arithmetic number, because the mean of its divisors is an integer number (11332618904385).

Almost surely, 2^{22665237808769} is an apocalyptic number.

It is an amenable number.

22665237808769 is a deficient number, since it is larger than the sum of its proper divisors (1).

22665237808769 is an equidigital number, since it uses as much as digits as its factorization.

22665237808769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 731566080, while the sum is 71.

The spelling of 22665237808769 in words is "twenty-two trillion, six hundred sixty-five billion, two hundred thirty-seven million, eight hundred eight thousand, seven hundred sixty-nine".