2016956678417 has 2 divisors, whose sum is σ = 2016956678418. Its totient is φ = 2016956678416.

The previous prime is 2016956678393. The next prime is 2016956678437. The reversal of 2016956678417 is 7148766596102.

It is a Cunningham number, because it is equal to 1420196²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2016956678416 + 1 = 1420196^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 2016956678417 - 2¹⁴ = 2016956662033 is a prime.

It is a super-2 number, since 2×2016956678417² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2016956678417.

It is not a weakly prime, because it can be changed into another prime (2016956678437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1008478339208 + 1008478339209.

It is an arithmetic number, because the mean of its divisors is an integer number (1008478339209).

Almost surely, 2^{2016956678417} is an apocalyptic number.

It is an amenable number.

2016956678417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2016956678417 is an equidigital number, since it uses as much as digits as its factorization.

2016956678417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30481920, while the sum is 62.

The spelling of 2016956678417 in words is "two trillion, sixteen billion, nine hundred fifty-six million, six hundred seventy-eight thousand, four hundred seventeen".