128209548544 has 432 divisors, whose sum is σ = 345397409280. Its totient is φ = 46111887360.

The previous prime is 128209548541. The next prime is 128209548557. The reversal of 128209548544 is 445845902821.

It is a junction number, because it is equal to n+sod(n) for n = 128209548491 and 128209548500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128209548541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305989167 + ... + 305989585.

It is an arithmetic number, because the mean of its divisors is an integer number (799531040).

Almost surely, 2^128209548544 is an apocalyptic number.

128209548544 is a gapful number since it is divisible by the number (14) 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 128209548544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172698704640).

128209548544 is an abundant number, since it is smaller than the sum of its proper divisors (217187860736).

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

128209548544 is a wasteful number, since it uses less digits than its factorization.

128209548544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 128209548544 in words is "one hundred twenty-eight billion, two hundred nine million, five hundred forty-eight thousand, five hundred forty-four".