10442228946817 has 2 divisors, whose sum is σ = 10442228946818. Its totient is φ = 10442228946816.

The previous prime is 10442228946763. The next prime is 10442228946871. The reversal of 10442228946817 is 71864982224401.

It is a happy number.

Together with next prime (10442228946871) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (10442228946763) and next prime (10442228946871).

It can be written as a sum of positive squares in only one way, i.e., 7135181222976 + 3307047723841 = 2671176^2 + 1818529^2 .

It is a cyclic number.

It is not a de Polignac number, because 10442228946817 - 2³¹ = 10440081463169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10442228944817) 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, 5221114473408 + 5221114473409.

It is an arithmetic number, because the mean of its divisors is an integer number (5221114473409).

Almost surely, 2^{10442228946817} is an apocalyptic number.

It is an amenable number.

10442228946817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10442228946817 is an equidigital number, since it uses as much as digits as its factorization.

10442228946817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12386304, while the sum is 58.

The spelling of 10442228946817 in words is "ten trillion, four hundred forty-two billion, two hundred twenty-eight million, nine hundred forty-six thousand, eight hundred seventeen".