823464464328 has 256 divisors, whose sum is σ = 2540837376000. Its totient is φ = 245000505600.

The previous prime is 823464464269. The next prime is 823464464341.

823464464328 is a `hidden beast` number, since 82 + 3 + 464 + 46 + 43 + 28 = 666.

823464464328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85072593 + ... + 85082271.

It is an arithmetic number, because the mean of its divisors is an integer number (9925146000).

Almost surely, 2^823464464328 is an apocalyptic number.

823464464328 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 823464464328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270418688000).

823464464328 is an abundant number, since it is smaller than the sum of its proper divisors (1717372911672).

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

823464464328 is a wasteful number, since it uses less digits than its factorization.

823464464328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10353 (or 10343 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 823464464328 in words is "eight hundred twenty-three billion, four hundred sixty-four million, four hundred sixty-four thousand, three hundred twenty-eight".