320014130330417 has 2 divisors, whose sum is σ = 320014130330418. Its totient is φ = 320014130330416.

The previous prime is 320014130330387. The next prime is 320014130330429. The reversal of 320014130330417 is 714033031410023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226917799291681 + 93096331038736 = 15063791^2 + 9648644^2 .

It is a cyclic number.

It is not a de Polignac number, because 320014130330417 - 2¹⁸ = 320014130068273 is a prime.

It is a super-2 number, since 2×320014130330417² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (320014130330617) 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, 160007065165208 + 160007065165209.

It is an arithmetic number, because the mean of its divisors is an integer number (160007065165209).

Almost surely, 2^{320014130330417} is an apocalyptic number.

It is an amenable number.

320014130330417 is a deficient number, since it is larger than the sum of its proper divisors (1).

320014130330417 is an equidigital number, since it uses as much as digits as its factorization.

320014130330417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 320014130330417 in words is "three hundred twenty trillion, fourteen billion, one hundred thirty million, three hundred thirty thousand, four hundred seventeen".