128582023974912 has 624 divisors, whose sum is σ = 405862458980160. Its totient is φ = 40562753273856.

The previous prime is 128582023974871. The next prime is 128582023974919. The reversal of 128582023974912 is 219479320285821.

128582023974912 is a `hidden beast` number, since 1 + 2 + 8 + 58 + 2 + 0 + 2 + 3 + 97 + 491 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128582023974912.

It is not an unprimeable number, because it can be changed into a prime (128582023974919) 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, 21804647548 + ... + 21804653444.

It is an arithmetic number, because the mean of its divisors is an integer number (650420607340).

Almost surely, 2^{128582023974912} is an apocalyptic number.

128582023974912 is a gapful number since it is divisible by the number (12) 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 128582023974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202931229490080).

128582023974912 is an abundant number, since it is smaller than the sum of its proper divisors (277280435005248).

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

128582023974912 is an equidigital number, since it uses as much as digits as its factorization.

128582023974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 128582023974912 in words is "one hundred twenty-eight trillion, five hundred eighty-two billion, twenty-three million, nine hundred seventy-four thousand, nine hundred twelve".