82448128484480 has 256 divisors, whose sum is σ = 218582546785920. Its totient is φ = 29484699648000.

The previous prime is 82448128484479. The next prime is 82448128484509. The reversal of 82448128484480 is 8448482184428.

It is a happy number.

82448128484480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3395569940 + ... + 3395594220.

Almost surely, 2^{82448128484480} is an apocalyptic number.

82448128484480 is a gapful number since it is divisible by the number (80) 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 82448128484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109291273392960).

82448128484480 is an abundant number, since it is smaller than the sum of its proper divisors (136134418301440).

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

82448128484480 is a wasteful number, since it uses less digits than its factorization.

82448128484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32279 (or 32267 counting only the distinct ones).

The product of its (nonzero) digits is 134217728, while the sum is 65.

The spelling of 82448128484480 in words is "eighty-two trillion, four hundred forty-eight billion, one hundred twenty-eight million, four hundred eighty-four thousand, four hundred eighty".