345632441456257 has 2 divisors, whose sum is σ = 345632441456258. Its totient is φ = 345632441456256.

The previous prime is 345632441456189. The next prime is 345632441456297. The reversal of 345632441456257 is 752654144236543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232179608228481 + 113452833227776 = 15237441^2 + 10651424^2 .

It is a cyclic number.

It is not a de Polignac number, because 345632441456257 - 2³⁹ = 345082685642369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345632441456195 and 345632441456204.

It is not a weakly prime, because it can be changed into another prime (345632441456297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172816220728128 + 172816220728129.

It is an arithmetic number, because the mean of its divisors is an integer number (172816220728129).

Almost surely, 2^{345632441456257} is an apocalyptic number.

It is an amenable number.

345632441456257 is a deficient number, since it is larger than the sum of its proper divisors (1).

345632441456257 is an equidigital number, since it uses as much as digits as its factorization.

345632441456257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 290304000, while the sum is 61.

The spelling of 345632441456257 in words is "three hundred forty-five trillion, six hundred thirty-two billion, four hundred forty-one million, four hundred fifty-six thousand, two hundred fifty-seven".