348305329443601 has 2 divisors, whose sum is σ = 348305329443602. Its totient is φ = 348305329443600.

The previous prime is 348305329443563. The next prime is 348305329443629. The reversal of 348305329443601 is 106344923503843.

It is a Cunningham number, because it is equal to 18662940²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 348305329443600 + 1 = 18662940^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-348305329443601 is a prime.

It is not a weakly prime, because it can be changed into another prime (348305329443661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174152664721800 + 174152664721801.

It is an arithmetic number, because the mean of its divisors is an integer number (174152664721801).

Almost surely, 2^{348305329443601} is an apocalyptic number.

348305329443601 is the 8346321-st centered decagonal number.

It is an amenable number.

348305329443601 is a deficient number, since it is larger than the sum of its proper divisors (1).

348305329443601 is an equidigital number, since it uses as much as digits as its factorization.

348305329443601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22394880, while the sum is 55.

The spelling of 348305329443601 in words is "three hundred forty-eight trillion, three hundred five billion, three hundred twenty-nine million, four hundred forty-three thousand, six hundred one".