125944032054681 has 64 divisors (see below), whose sum is σ = 187224976147200. Its totient is φ = 83674749330432.

The previous prime is 125944032054661. The next prime is 125944032054749. The reversal of 125944032054681 is 186450230449521.

125944032054681 is a `hidden beast` number, since 1 + 2 + 5 + 94 + 4 + 0 + 3 + 2 + 0 + 546 + 8 + 1 = 666.

It is not a de Polignac number, because 125944032054681 - 2²³ = 125944023666073 is a prime.

It is a super-3 number, since 3×125944032054681³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (125944032054601) 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, 38015100081 + ... + 38015103393.

It is an arithmetic number, because the mean of its divisors is an integer number (2925390252300).

Almost surely, 2^{125944032054681} is an apocalyptic number.

It is an amenable number.

125944032054681 is a deficient number, since it is larger than the sum of its proper divisors (61280944092519).

125944032054681 is a wasteful number, since it uses less digits than its factorization.

125944032054681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7127 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 125944032054681 in words is "one hundred twenty-five trillion, nine hundred forty-four billion, thirty-two million, fifty-four thousand, six hundred eighty-one".