1338857148017 has 2 divisors, whose sum is σ = 1338857148018. Its totient is φ = 1338857148016.

The previous prime is 1338857147989. The next prime is 1338857148023. The reversal of 1338857148017 is 7108417588331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1020485856481 + 318371291536 = 1010191^2 + 564244^2 .

It is an emirp because it is prime and its reverse (7108417588331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1338857148017 - 2³⁴ = 1321677278833 is a prime.

It is not a weakly prime, because it can be changed into another prime (1338857148047) 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, 669428574008 + 669428574009.

It is an arithmetic number, because the mean of its divisors is an integer number (669428574009).

Almost surely, 2^{1338857148017} is an apocalyptic number.

It is an amenable number.

1338857148017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1338857148017 is an equidigital number, since it uses as much as digits as its factorization.

1338857148017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4515840, while the sum is 56.

The spelling of 1338857148017 in words is "one trillion, three hundred thirty-eight billion, eight hundred fifty-seven million, one hundred forty-eight thousand, seventeen".