823328823328 has 96 divisors (see below), whose sum is σ = 1786737476160. Its totient is φ = 370339200000.

The previous prime is 823328823323. The next prime is 823328823329.

823328823328 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (823328823323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83151178 + ... + 83161078.

It is an arithmetic number, because the mean of its divisors is an integer number (18611848710).

Almost surely, 2^823328823328 is an apocalyptic number.

823328823328 is a gapful number since it is divisible by the number (88) 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 823328823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893368738080).

823328823328 is an abundant number, since it is smaller than the sum of its proper divisors (963408652832).

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

823328823328 is a wasteful number, since it uses less digits than its factorization.

823328823328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12362 (or 12354 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 52.

The spelling of 823328823328 in words is "eight hundred twenty-three billion, three hundred twenty-eight million, eight hundred twenty-three thousand, three hundred twenty-eight".