127406461681 has 2 divisors, whose sum is σ = 127406461682. Its totient is φ = 127406461680.

The previous prime is 127406461639. The next prime is 127406461687. The reversal of 127406461681 is 186164604721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127389031056 + 17430625 = 356916^2 + 4175^2 .

It is a cyclic number.

It is not a de Polignac number, because 127406461681 - 2¹¹ = 127406459633 is a prime.

It is a super-2 number, since 2×127406461681² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127406461687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63703230840 + 63703230841.

It is an arithmetic number, because the mean of its divisors is an integer number (63703230841).

Almost surely, 2^127406461681 is an apocalyptic number.

It is an amenable number.

127406461681 is a deficient number, since it is larger than the sum of its proper divisors (1).

127406461681 is an equidigital number, since it uses as much as digits as its factorization.

127406461681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 127406461681 in words is "one hundred twenty-seven billion, four hundred six million, four hundred sixty-one thousand, six hundred eighty-one".