34134300422309 has 2 divisors, whose sum is σ = 34134300422310. Its totient is φ = 34134300422308.

The previous prime is 34134300422269. The next prime is 34134300422323. The reversal of 34134300422309 is 90322400343143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29648787304900 + 4485513117409 = 5445070^2 + 2117903^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34134300422309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34134300422359) 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, 17067150211154 + 17067150211155.

It is an arithmetic number, because the mean of its divisors is an integer number (17067150211155).

Almost surely, 2^{34134300422309} is an apocalyptic number.

It is an amenable number.

34134300422309 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134300422309 is an equidigital number, since it uses as much as digits as its factorization.

34134300422309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 34134300422309 in words is "thirty-four trillion, one hundred thirty-four billion, three hundred million, four hundred twenty-two thousand, three hundred nine".