127082673844 has 36 divisors (see below), whose sum is σ = 258725732580. Its totient is φ = 54459431040.

The previous prime is 127082673841. The next prime is 127082673869. The reversal of 127082673844 is 448376280721.

It can be written as a sum of positive squares in 2 ways, for example, as 68136660900 + 58946012944 = 261030^2 + 242788^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 127082673791 and 127082673800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127082673841) 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 11 ways as a sum of consecutive naturals, for example, 3432954 + ... + 3469774.

It is an arithmetic number, because the mean of its divisors is an integer number (7186825905).

Almost surely, 2^127082673844 is an apocalyptic number.

127082673844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

127082673844 is an abundant number, since it is smaller than the sum of its proper divisors (131643058736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127082673844 is a wasteful number, since it uses less digits than its factorization.

127082673844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54448 (or 54439 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 127082673844 in words is "one hundred twenty-seven billion, eighty-two million, six hundred seventy-three thousand, eight hundred forty-four".