1268756859681 has 16 divisors (see below), whose sum is σ = 1879661805120. Its totient is φ = 845828000640.

The previous prime is 1268756859673. The next prime is 1268756859691. The reversal of 1268756859681 is 1869586578621.

1268756859681 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 7 + 568 + 59 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 1268756859681 - 2³ = 1268756859673 is a prime.

It is a super-2 number, since 2×1268756859681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268756859691) 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, 2631121 + ... + 3075761.

It is an arithmetic number, because the mean of its divisors is an integer number (117478862820).

Almost surely, 2^{1268756859681} is an apocalyptic number.

It is an amenable number.

1268756859681 is a deficient number, since it is larger than the sum of its proper divisors (610904945439).

1268756859681 is a wasteful number, since it uses less digits than its factorization.

1268756859681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550333 (or 550327 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 72.

The spelling of 1268756859681 in words is "one trillion, two hundred sixty-eight billion, seven hundred fifty-six million, eight hundred fifty-nine thousand, six hundred eighty-one".