34066066457 has 2 divisors, whose sum is σ = 34066066458. Its totient is φ = 34066066456.

The previous prime is 34066066387. The next prime is 34066066459. The reversal of 34066066457 is 75466066043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31536077056 + 2529989401 = 177584^2 + 50299^2 .

It is a cyclic number.

It is not a de Polignac number, because 34066066457 - 2¹² = 34066062361 is a prime.

Together with 34066066459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34066066459) 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, 17033033228 + 17033033229.

It is an arithmetic number, because the mean of its divisors is an integer number (17033033229).

Almost surely, 2^34066066457 is an apocalyptic number.

It is an amenable number.

34066066457 is a deficient number, since it is larger than the sum of its proper divisors (1).

34066066457 is an equidigital number, since it uses as much as digits as its factorization.

34066066457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 47.

The spelling of 34066066457 in words is "thirty-four billion, sixty-six million, sixty-six thousand, four hundred fifty-seven".