127631091681 has 12 divisors (see below), whose sum is σ = 186689642880. Its totient is φ = 84010338360.

The previous prime is 127631091661. The next prime is 127631091697. The reversal of 127631091681 is 186190136721.

127631091681 is a `hidden beast` number, since 1 + 2 + 7 + 631 + 0 + 9 + 1 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 127631091681 - 2¹⁷ = 127630960609 is a prime.

It is a super-2 number, since 2×127631091681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127631091661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89753925 + ... + 89755346.

It is an arithmetic number, because the mean of its divisors is an integer number (15557470240).

Almost surely, 2^127631091681 is an apocalyptic number.

It is an amenable number.

127631091681 is a deficient number, since it is larger than the sum of its proper divisors (59058551199).

127631091681 is a wasteful number, since it uses less digits than its factorization.

127631091681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179509356 (or 179509353 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 127631091681 in words is "one hundred twenty-seven billion, six hundred thirty-one million, ninety-one thousand, six hundred eighty-one".