34444561117 has 2 divisors, whose sum is σ = 34444561118. Its totient is φ = 34444561116.

The previous prime is 34444561093. The next prime is 34444561121. The reversal of 34444561117 is 71116544443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31961930841 + 2482630276 = 178779^2 + 49826^2 .

It is a cyclic number.

It is not a de Polignac number, because 34444561117 - 2²³ = 34436172509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34444561117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34444561147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17222280558 + 17222280559.

It is an arithmetic number, because the mean of its divisors is an integer number (17222280559).

Almost surely, 2^34444561117 is an apocalyptic number.

It is an amenable number.

34444561117 is a deficient number, since it is larger than the sum of its proper divisors (1).

34444561117 is an equidigital number, since it uses as much as digits as its factorization.

34444561117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 161280, while the sum is 40.

The spelling of 34444561117 in words is "thirty-four billion, four hundred forty-four million, five hundred sixty-one thousand, one hundred seventeen".