3416315456417 has 2 divisors, whose sum is σ = 3416315456418. Its totient is φ = 3416315456416.

The previous prime is 3416315456387. The next prime is 3416315456473. The reversal of 3416315456417 is 7146545136143.

3416315456417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1734407346961 + 1681908109456 = 1316969^2 + 1296884^2 .

It is a cyclic number.

It is not a de Polignac number, because 3416315456417 - 2¹⁰ = 3416315455393 is a prime.

It is a super-2 number, since 2×3416315456417² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3416315426417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1708157728208 + 1708157728209.

It is an arithmetic number, because the mean of its divisors is an integer number (1708157728209).

Almost surely, 2^{3416315456417} is an apocalyptic number.

It is an amenable number.

3416315456417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3416315456417 is an equidigital number, since it uses as much as digits as its factorization.

3416315456417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 50.

The spelling of 3416315456417 in words is "three trillion, four hundred sixteen billion, three hundred fifteen million, four hundred fifty-six thousand, four hundred seventeen".