34021233134417 has 2 divisors, whose sum is σ = 34021233134418. Its totient is φ = 34021233134416.

The previous prime is 34021233134347. The next prime is 34021233134477. The reversal of 34021233134417 is 71443133212043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32686101414976 + 1335131719441 = 5717176^2 + 1155479^2 .

It is a cyclic number.

It is not a de Polignac number, because 34021233134417 - 2³⁶ = 33952513657681 is a prime.

It is not a weakly prime, because it can be changed into another prime (34021233134477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17010616567208 + 17010616567209.

It is an arithmetic number, because the mean of its divisors is an integer number (17010616567209).

Almost surely, 2^{34021233134417} is an apocalyptic number.

It is an amenable number.

34021233134417 is a deficient number, since it is larger than the sum of its proper divisors (1).

34021233134417 is an equidigital number, since it uses as much as digits as its factorization.

34021233134417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 34021233134417 in words is "thirty-four trillion, twenty-one billion, two hundred thirty-three million, one hundred thirty-four thousand, four hundred seventeen".