125983323648 has 1280 divisors, whose sum is σ = 500907939840. Its totient is φ = 30321672192.

The previous prime is 125983323643. The next prime is 125983323649. The reversal of 125983323648 is 846323389521.

125983323648 is a `hidden beast` number, since 1 + 2 + 598 + 3 + 3 + 2 + 3 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125983323594 and 125983323603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125983323643) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 919586236 + ... + 919586372.

It is an arithmetic number, because the mean of its divisors is an integer number (391334328).

Almost surely, 2^125983323648 is an apocalyptic number.

125983323648 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 125983323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250453969920).

125983323648 is an abundant number, since it is smaller than the sum of its proper divisors (374924616192).

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

125983323648 is a wasteful number, since it uses less digits than its factorization.

125983323648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 125983323648 in words is "one hundred twenty-five billion, nine hundred eighty-three million, three hundred twenty-three thousand, six hundred forty-eight".