34022444114413 has 2 divisors, whose sum is σ = 34022444114414. Its totient is φ = 34022444114412.

The previous prime is 34022444114231. The next prime is 34022444114431. The reversal of 34022444114413 is 31441144422043.

Together with next prime (34022444114431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22756506262884 + 11265937851529 = 4770378^2 + 3356477^2 .

It is an emirp because it is prime and its reverse (31441144422043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34022444114413 - 2⁴¹ = 31823420858861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34022444118413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17011222057206 + 17011222057207.

It is an arithmetic number, because the mean of its divisors is an integer number (17011222057207).

Almost surely, 2^{34022444114413} is an apocalyptic number.

It is an amenable number.

34022444114413 is a deficient number, since it is larger than the sum of its proper divisors (1).

34022444114413 is an equidigital number, since it uses as much as digits as its factorization.

34022444114413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 34022444114413 its reverse (31441144422043), we get a palindrome (65463588536456).

The spelling of 34022444114413 in words is "thirty-four trillion, twenty-two billion, four hundred forty-four million, one hundred fourteen thousand, four hundred thirteen".