345603552164089 has 2 divisors, whose sum is σ = 345603552164090. Its totient is φ = 345603552164088.

The previous prime is 345603552164021. The next prime is 345603552164113. The reversal of 345603552164089 is 980461255306543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312434188452864 + 33169363711225 = 17675808^2 + 5759285^2 .

It is a cyclic number.

It is not a de Polignac number, because 345603552164089 - 2³⁹ = 345053796350201 is a prime.

It is not a weakly prime, because it can be changed into another prime (345603552164789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172801776082044 + 172801776082045.

It is an arithmetic number, because the mean of its divisors is an integer number (172801776082045).

Almost surely, 2^{345603552164089} is an apocalyptic number.

It is an amenable number.

345603552164089 is a deficient number, since it is larger than the sum of its proper divisors (1).

345603552164089 is an equidigital number, since it uses as much as digits as its factorization.

345603552164089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312000, while the sum is 61.

The spelling of 345603552164089 in words is "three hundred forty-five trillion, six hundred three billion, five hundred fifty-two million, one hundred sixty-four thousand, eighty-nine".