128993547648 has 256 divisors, whose sum is σ = 415611648000. Its totient is φ = 34604580864.

The previous prime is 128993547647. The next prime is 128993547667. The reversal of 128993547648 is 846745399821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128993547647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20514361 + ... + 20520647.

It is an arithmetic number, because the mean of its divisors is an integer number (1623483000).

Almost surely, 2^128993547648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128993547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207805824000).

128993547648 is an abundant number, since it is smaller than the sum of its proper divisors (286618100352).

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

128993547648 is a wasteful number, since it uses less digits than its factorization.

128993547648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6765 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 128993547648 in words is "one hundred twenty-eight billion, nine hundred ninety-three million, five hundred forty-seven thousand, six hundred forty-eight".