221313631872769 has 2 divisors, whose sum is σ = 221313631872770. Its totient is φ = 221313631872768.

The previous prime is 221313631872733. The next prime is 221313631872791. The reversal of 221313631872769 is 967278136313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120822129415744 + 100491502457025 = 10991912^2 + 10024545^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313631872769 - 2¹⁵ = 221313631840001 is a prime.

It is a super-2 number, since 2×221313631872769² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221313631872469) 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, 110656815936384 + 110656815936385.

It is an arithmetic number, because the mean of its divisors is an integer number (110656815936385).

Almost surely, 2^{221313631872769} is an apocalyptic number.

It is an amenable number.

221313631872769 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313631872769 is an equidigital number, since it uses as much as digits as its factorization.

221313631872769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27433728, while the sum is 61.

The spelling of 221313631872769 in words is "two hundred twenty-one trillion, three hundred thirteen billion, six hundred thirty-one million, eight hundred seventy-two thousand, seven hundred sixty-nine".