125748654984001 has 16 divisors (see below), whose sum is σ = 145215893140864. Its totient is φ = 106657533126144.

The previous prime is 125748654983951. The next prime is 125748654984047. The reversal of 125748654984001 is 100489456847521.

It is not a de Polignac number, because 125748654984001 - 2²⁷ = 125748520766273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125748654984101) 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 15 ways as a sum of consecutive naturals, for example, 9181215 + ... + 18324628.

It is an arithmetic number, because the mean of its divisors is an integer number (9075993321304).

Almost surely, 2^{125748654984001} is an apocalyptic number.

It is an amenable number.

125748654984001 is a deficient number, since it is larger than the sum of its proper divisors (19467238156863).

125748654984001 is an equidigital number, since it uses as much as digits as its factorization.

125748654984001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27512680.

The product of its (nonzero) digits is 77414400, while the sum is 64.

The spelling of 125748654984001 in words is "one hundred twenty-five trillion, seven hundred forty-eight billion, six hundred fifty-four million, nine hundred eighty-four thousand, one".