714859383958417 has 8 divisors (see below), whose sum is σ = 739510414353000. Its totient is φ = 690208400684544.

The previous prime is 714859383958399. The next prime is 714859383958439.

714859383958417 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 20489663955601 + 694369720002816 = 4526551^2 + 26350896^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-714859383958417 is a prime.

It is a super-2 number, since 2×714859383958417² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (714859383950417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20592459 + ... + 43055407.

It is an arithmetic number, because the mean of its divisors is an integer number (92438801794125).

Almost surely, 2^{714859383958417} is an apocalyptic number.

It is an amenable number.

714859383958417 is a deficient number, since it is larger than the sum of its proper divisors (24651030394583).

714859383958417 is a wasteful number, since it uses less digits than its factorization.

714859383958417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23560355.

The product of its digits is 7315660800, while the sum is 82.

The spelling of 714859383958417 in words is "seven hundred fourteen trillion, eight hundred fifty-nine billion, three hundred eighty-three million, nine hundred fifty-eight thousand, four hundred seventeen".