714878000878417 has 2 divisors, whose sum is σ = 714878000878418. Its totient is φ = 714878000878416.

The previous prime is 714878000878357. The next prime is 714878000878439.

714878000878417 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 705882854223936 + 8995146654481 = 26568456^2 + 2999191^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 714878000878417 - 2¹⁹ = 714878000354129 is a prime.

It is a super-3 number, since 3×714878000878417³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (714878000872417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 357439000439208 + 357439000439209.

It is an arithmetic number, because the mean of its divisors is an integer number (357439000439209).

Almost surely, 2^{714878000878417} is an apocalyptic number.

It is an amenable number.

714878000878417 is a deficient number, since it is larger than the sum of its proper divisors (1).

714878000878417 is an equidigital number, since it uses as much as digits as its factorization.

714878000878417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157351936, while the sum is 70.

The spelling of 714878000878417 in words is "seven hundred fourteen trillion, eight hundred seventy-eight billion, eight hundred seventy-eight thousand, four hundred seventeen".