114255142344017 has 2 divisors, whose sum is σ = 114255142344018. Its totient is φ = 114255142344016.

The previous prime is 114255142343939. The next prime is 114255142344059. The reversal of 114255142344017 is 710443241552411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93990523706641 + 20264618637376 = 9694871^2 + 4501624^2 .

It is a cyclic number.

It is not a de Polignac number, because 114255142344017 - 2⁸ = 114255142343761 is a prime.

It is not a weakly prime, because it can be changed into another prime (114255102344017) 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, 57127571172008 + 57127571172009.

It is an arithmetic number, because the mean of its divisors is an integer number (57127571172009).

Almost surely, 2^{114255142344017} is an apocalyptic number.

It is an amenable number.

114255142344017 is a deficient number, since it is larger than the sum of its proper divisors (1).

114255142344017 is an equidigital number, since it uses as much as digits as its factorization.

114255142344017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 537600, while the sum is 44.

Adding to 114255142344017 its reverse (710443241552411), we get a palindrome (824698383896428).

The spelling of 114255142344017 in words is "one hundred fourteen trillion, two hundred fifty-five billion, one hundred forty-two million, three hundred forty-four thousand, seventeen".