8444202514213 has 2 divisors, whose sum is σ = 8444202514214. Its totient is φ = 8444202514212.

The previous prime is 8444202514211. The next prime is 8444202514217. The reversal of 8444202514213 is 3124152024448.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8444150197924 + 52316289 = 2905882^2 + 7233^2 .

It is a cyclic number.

It is not a de Polignac number, because 8444202514213 - 2¹ = 8444202514211 is a prime.

It is a super-2 number, since 2×8444202514213² (a number of 27 digits) contains 22 as substring.

Together with 8444202514211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8444202514211) 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, 4222101257106 + 4222101257107.

It is an arithmetic number, because the mean of its divisors is an integer number (4222101257107).

Almost surely, 2^{8444202514213} is an apocalyptic number.

It is an amenable number.

8444202514213 is a deficient number, since it is larger than the sum of its proper divisors (1).

8444202514213 is an equidigital number, since it uses as much as digits as its factorization.

8444202514213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 8444202514213 in words is "eight trillion, four hundred forty-four billion, two hundred two million, five hundred fourteen thousand, two hundred thirteen".