36345364113221 has 2 divisors, whose sum is σ = 36345364113222. Its totient is φ = 36345364113220.

The previous prime is 36345364113211. The next prime is 36345364113229. The reversal of 36345364113221 is 12231146354363.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30995330349025 + 5350033764196 = 5567345^2 + 2313014^2 .

It is a cyclic number.

It is not a de Polignac number, because 36345364113221 - 2¹⁸ = 36345363851077 is a prime.

It is a super-2 number, since 2×36345364113221² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36345364113229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18172682056610 + 18172682056611.

It is an arithmetic number, because the mean of its divisors is an integer number (18172682056611).

Almost surely, 2^{36345364113221} is an apocalyptic number.

It is an amenable number.

36345364113221 is a deficient number, since it is larger than the sum of its proper divisors (1).

36345364113221 is an equidigital number, since it uses as much as digits as its factorization.

36345364113221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 933120, while the sum is 44.

The spelling of 36345364113221 in words is "thirty-six trillion, three hundred forty-five billion, three hundred sixty-four million, one hundred thirteen thousand, two hundred twenty-one".