125945883648 has 264 divisors, whose sum is σ = 392621248656. Its totient is φ = 38655590400.

The previous prime is 125945883641. The next prime is 125945883649. The reversal of 125945883648 is 846388549521.

125945883648 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 4 + 588 + 3 + 6 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (125945883641) 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 23 ways as a sum of consecutive naturals, for example, 58824658 + ... + 58826798.

Almost surely, 2^125945883648 is an apocalyptic number.

125945883648 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 125945883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196310624328).

125945883648 is an abundant number, since it is smaller than the sum of its proper divisors (266675365008).

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

125945883648 is a wasteful number, since it uses less digits than its factorization.

125945883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2650 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 125945883648 in words is "one hundred twenty-five billion, nine hundred forty-five million, eight hundred eighty-three thousand, six hundred forty-eight".