346005675643361 has 2 divisors, whose sum is σ = 346005675643362. Its totient is φ = 346005675643360.

The previous prime is 346005675643349. The next prime is 346005675643367. The reversal of 346005675643361 is 163346576500643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322437903381136 + 23567772262225 = 17956556^2 + 4854665^2 .

It is an emirp because it is prime and its reverse (163346576500643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 346005675643361 - 2¹⁰ = 346005675642337 is a prime.

It is a super-2 number, since 2×346005675643361² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346005675643361.

It is not a weakly prime, because it can be changed into another prime (346005675643367) 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, 173002837821680 + 173002837821681.

It is an arithmetic number, because the mean of its divisors is an integer number (173002837821681).

Almost surely, 2^{346005675643361} is an apocalyptic number.

It is an amenable number.

346005675643361 is a deficient number, since it is larger than the sum of its proper divisors (1).

346005675643361 is an equidigital number, since it uses as much as digits as its factorization.

346005675643361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97977600, while the sum is 59.

The spelling of 346005675643361 in words is "three hundred forty-six trillion, five billion, six hundred seventy-five million, six hundred forty-three thousand, three hundred sixty-one".