125911726848 has 648 divisors, whose sum is σ = 410038377840. Its totient is φ = 37026201600.

The previous prime is 125911726841. The next prime is 125911726849. The reversal of 125911726848 is 848627119521.

125911726848 is a `hidden beast` number, since 1 + 2 + 591 + 1 + 7 + 2 + 6 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125911726794 and 125911726803.

It is not an unprimeable number, because it can be changed into a prime (125911726841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1724818140 + ... + 1724818212.

Almost surely, 2^125911726848 is an apocalyptic number.

125911726848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125911726848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205019188920).

125911726848 is an abundant number, since it is smaller than the sum of its proper divisors (284126650992).

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

125911726848 is a wasteful number, since it uses less digits than its factorization.

125911726848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 169 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 125911726848 in words is "one hundred twenty-five billion, nine hundred eleven million, seven hundred twenty-six thousand, eight hundred forty-eight".