345356564563609 has 2 divisors, whose sum is σ = 345356564563610. Its totient is φ = 345356564563608.

The previous prime is 345356564563559. The next prime is 345356564563649. The reversal of 345356564563609 is 906365465653543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335027154240009 + 10329410323600 = 18303747^2 + 3213940^2 .

It is a cyclic number.

It is not a de Polignac number, because 345356564563609 - 2⁷ = 345356564563481 is a prime.

It is not a weakly prime, because it can be changed into another prime (345356564563649) 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, 172678282281804 + 172678282281805.

It is an arithmetic number, because the mean of its divisors is an integer number (172678282281805).

Almost surely, 2^{345356564563609} is an apocalyptic number.

It is an amenable number.

345356564563609 is a deficient number, since it is larger than the sum of its proper divisors (1).

345356564563609 is an equidigital number, since it uses as much as digits as its factorization.

345356564563609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3149280000, while the sum is 70.

The spelling of 345356564563609 in words is "three hundred forty-five trillion, three hundred fifty-six billion, five hundred sixty-four million, five hundred sixty-three thousand, six hundred nine".