7142864682417 has 16 divisors (see below), whose sum is σ = 10025160624960. Its totient is φ = 4511243633472.

The previous prime is 7142864682413. The next prime is 7142864682463.

It is a happy number.

7142864682417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7142864682417 - 2² = 7142864682413 is a prime.

It is a super-2 number, since 2×7142864682417² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7142864682413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6943383 + ... + 7905459.

It is an arithmetic number, because the mean of its divisors is an integer number (626572539060).

Almost surely, 2^{7142864682417} is an apocalyptic number.

It is an amenable number.

7142864682417 is a deficient number, since it is larger than the sum of its proper divisors (2882295942543).

7142864682417 is a wasteful number, since it uses less digits than its factorization.

7142864682417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092352.

The product of its digits is 28901376, while the sum is 60.

The spelling of 7142864682417 in words is "seven trillion, one hundred forty-two billion, eight hundred sixty-four million, six hundred eighty-two thousand, four hundred seventeen".