127635969116881 has 27 divisors (see below), whose sum is σ = 139200039125019. Its totient is φ = 117011595934800.

The previous prime is 127635969116863. The next prime is 127635969116911. The reversal of 127635969116881 is 188611969536721.

The square root of 127635969116881 is 11297609.

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

It can be written as a sum of positive squares in only one way, i.e., 97112333084481 + 30523636032400 = 9854559^2 + 5524820^2 .

It is not a de Polignac number, because 127635969116881 - 2¹⁷ = 127635968985809 is a prime.

It is a super-2 number, since 2×127635969116881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127635949116881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6654282111 + ... + 6654301291.

Almost surely, 2^{127635969116881} is an apocalyptic number.

127635969116881 is the 11297609-th square number.

127635969116881 is the 5648805-th centered octagonal number.

It is an amenable number.

127635969116881 is a deficient number, since it is larger than the sum of its proper divisors (11564070008138).

127635969116881 is an frugal number, since it uses more digits than its factorization.

127635969116881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38462 (or 19231 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 73.

The spelling of 127635969116881 in words is "one hundred twenty-seven trillion, six hundred thirty-five billion, nine hundred sixty-nine million, one hundred sixteen thousand, eight hundred eighty-one".