127988019086041 has 9 divisors (see below), whose sum is σ = 128112347049663. Its totient is φ = 127863811693800.

The previous prime is 127988019086021. The next prime is 127988019086077. The reversal of 127988019086041 is 140680910889721.

The square root of 127988019086041 is 11313179.

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., 116536969162441 + 11451049923600 = 10795229^2 + 3383940^2 .

It is not a de Polignac number, because 127988019086041 - 2⁹ = 127988019085529 is a prime.

It is a super-2 number, since 2×127988019086041² (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 (127988019086021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13021464115 + ... + 13021473943.

Almost surely, 2^{127988019086041} is an apocalyptic number.

127988019086041 is the 11313179-th square number.

127988019086041 is the 5656590-th centered octagonal number.

It is an amenable number.

127988019086041 is a deficient number, since it is larger than the sum of its proper divisors (124327963622).

127988019086041 is an frugal number, since it uses more digits than its factorization.

127988019086041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21960 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 64.

The spelling of 127988019086041 in words is "one hundred twenty-seven trillion, nine hundred eighty-eight billion, nineteen million, eighty-six thousand, forty-one".