314205103786417 has 2 divisors, whose sum is σ = 314205103786418. Its totient is φ = 314205103786416.

The previous prime is 314205103786309. The next prime is 314205103786451. The reversal of 314205103786417 is 714687301502413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198729468956736 + 115475634829681 = 14097144^2 + 10745959^2 .

It is a cyclic number.

It is not a de Polignac number, because 314205103786417 - 2⁷ = 314205103786289 is a prime.

It is not a weakly prime, because it can be changed into another prime (314200103786417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157102551893208 + 157102551893209.

It is an arithmetic number, because the mean of its divisors is an integer number (157102551893209).

Almost surely, 2^{314205103786417} is an apocalyptic number.

It is an amenable number.

314205103786417 is a deficient number, since it is larger than the sum of its proper divisors (1).

314205103786417 is an equidigital number, since it uses as much as digits as its factorization.

314205103786417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 314205103786417 in words is "three hundred fourteen trillion, two hundred five billion, one hundred three million, seven hundred eighty-six thousand, four hundred seventeen".