127851347136769 has 9 divisors (see below), whose sum is σ = 127931915989353. Its totient is φ = 127770829014192.

The previous prime is 127851347136743. The next prime is 127851347136827. The reversal of 127851347136769 is 967631743158721.

The square root of 127851347136769 is 11307137.

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 45439665401025 + 82411681735744 = 6740895^2 + 9078088^2 .

It is not a de Polignac number, because 127851347136769 - 2⁷ = 127851347136641 is a prime.

It is a super-2 number, since 2×127851347136769² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127851347136698 and 127851347136707.

It is not an unprimeable number, because it can be changed into a prime (127851347136169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27012747927 + ... + 27012752659.

Almost surely, 2^{127851347136769} is an apocalyptic number.

127851347136769 is the 11307137-th square number.

127851347136769 is the 5653569-th centered octagonal number.

It is an amenable number.

127851347136769 is a deficient number, since it is larger than the sum of its proper divisors (80568852584).

127851347136769 is an frugal number, since it uses more digits than its factorization.

127851347136769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14244 (or 7122 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 70.

The spelling of 127851347136769 in words is "one hundred twenty-seven trillion, eight hundred fifty-one billion, three hundred forty-seven million, one hundred thirty-six thousand, seven hundred sixty-nine".