345643475730593 has 2 divisors, whose sum is σ = 345643475730594. Its totient is φ = 345643475730592.

The previous prime is 345643475730529. The next prime is 345643475730643. The reversal of 345643475730593 is 395037574346543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180747777397009 + 164895698333584 = 13444247^2 + 12841172^2 .

It is a cyclic number.

It is not a de Polignac number, because 345643475730593 - 2⁶ = 345643475730529 is a prime.

It is a super-2 number, since 2×345643475730593² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (345643475733593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172821737865296 + 172821737865297.

It is an arithmetic number, because the mean of its divisors is an integer number (172821737865297).

Almost surely, 2^{345643475730593} is an apocalyptic number.

It is an amenable number.

345643475730593 is a deficient number, since it is larger than the sum of its proper divisors (1).

345643475730593 is an equidigital number, since it uses as much as digits as its factorization.

345643475730593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1714608000, while the sum is 68.

The spelling of 345643475730593 in words is "three hundred forty-five trillion, six hundred forty-three billion, four hundred seventy-five million, seven hundred thirty thousand, five hundred ninety-three".