34458413417 has 2 divisors, whose sum is σ = 34458413418. Its totient is φ = 34458413416.

The previous prime is 34458413383. The next prime is 34458413419. The reversal of 34458413417 is 71431485443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33975336976 + 483076441 = 184324^2 + 21979^2 .

It is a cyclic number.

It is not a de Polignac number, because 34458413417 - 2¹⁶ = 34458347881 is a prime.

Together with 34458413419, 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 (34458413419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17229206708 + 17229206709.

It is an arithmetic number, because the mean of its divisors is an integer number (17229206709).

Almost surely, 2^34458413417 is an apocalyptic number.

It is an amenable number.

34458413417 is a deficient number, since it is larger than the sum of its proper divisors (1).

34458413417 is an equidigital number, since it uses as much as digits as its factorization.

34458413417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 645120, while the sum is 44.

The spelling of 34458413417 in words is "thirty-four billion, four hundred fifty-eight million, four hundred thirteen thousand, four hundred seventeen".