34123055853209 has 2 divisors, whose sum is σ = 34123055853210. Its totient is φ = 34123055853208.

The previous prime is 34123055853181. The next prime is 34123055853233. The reversal of 34123055853209 is 90235855032143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23334425847184 + 10788630006025 = 4830572^2 + 3284605^2 .

It is a cyclic number.

It is not a de Polignac number, because 34123055853209 - 2²⁰ = 34123054804633 is a prime.

It is a super-2 number, since 2×34123055853209² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34123055853239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061527926604 + 17061527926605.

It is an arithmetic number, because the mean of its divisors is an integer number (17061527926605).

Almost surely, 2^{34123055853209} is an apocalyptic number.

It is an amenable number.

34123055853209 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123055853209 is an equidigital number, since it uses as much as digits as its factorization.

34123055853209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888000, while the sum is 50.

The spelling of 34123055853209 in words is "thirty-four trillion, one hundred twenty-three billion, fifty-five million, eight hundred fifty-three thousand, two hundred nine".