13423321824 has 288 divisors, whose sum is σ = 41313162240. Its totient is φ = 3804472320.

The previous prime is 13423321823. The next prime is 13423321883. The reversal of 13423321824 is 42812332431.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423321823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12556362 + ... + 12557430.

It is an arithmetic number, because the mean of its divisors is an integer number (143448480).

Almost surely, 2^13423321824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13423321824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20656581120).

13423321824 is an abundant number, since it is smaller than the sum of its proper divisors (27889840416).

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

13423321824 is a wasteful number, since it uses less digits than its factorization.

13423321824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1155 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The spelling of 13423321824 in words is "thirteen billion, four hundred twenty-three million, three hundred twenty-one thousand, eight hundred twenty-four".