8137423748689 has 9 divisors (see below), whose sum is σ = 8644304424721. Its totient is φ = 7658706121600.

The previous prime is 8137423748681. The next prime is 8137423748737. The reversal of 8137423748689 is 9868473247318.

The square root of 8137423748689 is 2852617.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1379461995025 + 6757961753664 = 1174505^2 + 2599608^2 .

It is not a de Polignac number, because 8137423748689 - 2³ = 8137423748681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8137423748681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48410589 + ... + 48578389.

Almost surely, 2^{8137423748689} is an apocalyptic number.

8137423748689 is the 2852617-th square number.

8137423748689 is the 1426309-th centered octagonal number.

It is an amenable number.

8137423748689 is a deficient number, since it is larger than the sum of its proper divisors (506880676032).

8137423748689 is an frugal number, since it uses more digits than its factorization.

8137423748689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335636 (or 167818 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 70.

The spelling of 8137423748689 in words is "eight trillion, one hundred thirty-seven billion, four hundred twenty-three million, seven hundred forty-eight thousand, six hundred eighty-nine".