34345065409 has 2 divisors, whose sum is σ = 34345065410. Its totient is φ = 34345065408.

The previous prime is 34345065341. The next prime is 34345065463. The reversal of 34345065409 is 90456054343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33433025409 + 912040000 = 182847^2 + 30200^2 .

It is an emirp because it is prime and its reverse (90456054343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34345065409 - 2⁷ = 34345065281 is a prime.

It is not a weakly prime, because it can be changed into another prime (34345065499) 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, 17172532704 + 17172532705.

It is an arithmetic number, because the mean of its divisors is an integer number (17172532705).

Almost surely, 2^34345065409 is an apocalyptic number.

It is an amenable number.

34345065409 is a deficient number, since it is larger than the sum of its proper divisors (1).

34345065409 is an equidigital number, since it uses as much as digits as its factorization.

34345065409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 34345065409 in words is "thirty-four billion, three hundred forty-five million, sixty-five thousand, four hundred nine".