127114387317 has 64 divisors (see below), whose sum is σ = 206112614400. Its totient is φ = 77078200320.

The previous prime is 127114387313. The next prime is 127114387333. The reversal of 127114387317 is 713783411721.

127114387317 is a `hidden beast` number, since 127 + 11 + 438 + 73 + 17 = 666.

It is not a de Polignac number, because 127114387317 - 2² = 127114387313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127114387313) 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 63 ways as a sum of consecutive naturals, for example, 10936293 + ... + 10947909.

It is an arithmetic number, because the mean of its divisors is an integer number (3220509600).

Almost surely, 2^127114387317 is an apocalyptic number.

127114387317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

127114387317 is a deficient number, since it is larger than the sum of its proper divisors (78998227083).

127114387317 is a wasteful number, since it uses less digits than its factorization.

127114387317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443 (or 12437 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 127114387317 in words is "one hundred twenty-seven billion, one hundred fourteen million, three hundred eighty-seven thousand, three hundred seventeen".