8086680876681 has 243 divisors, whose sum is σ = 14120500495647. Its totient is φ = 4455295764480.

The previous prime is 8086680876623. The next prime is 8086680876683. The reversal of 8086680876681 is 1866780866808.

The square root of 8086680876681 is 2843709.

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

It can be written as a sum of positive squares in 13 ways, for example, as 22693916025 + 8063986960656 = 150645^2 + 2839716^2 .

It is not a de Polignac number, because 8086680876681 - 2¹¹ = 8086680874633 is a prime.

It is a super-2 number, since 2×8086680876681² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8086680876683) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 59026867645 + ... + 59026867781.

Almost surely, 2^{8086680876681} is an apocalyptic number.

8086680876681 is the 2843709-th square number.

8086680876681 is the 1421855-th centered octagonal number.

It is an amenable number.

8086680876681 is a deficient number, since it is larger than the sum of its proper divisors (6033819618966).

8086680876681 is a wasteful number, since it uses less digits than its factorization.

8086680876681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 8086680876681 in words is "eight trillion, eighty-six billion, six hundred eighty million, eight hundred seventy-six thousand, six hundred eighty-one".