13224332160 has 768 divisors, whose sum is σ = 52894033920. Its totient is φ = 3135283200.

The previous prime is 13224332141. The next prime is 13224332161. The reversal of 13224332160 is 6123342231.

13224332160 is a `hidden beast` number, since 1 + 322 + 4 + 332 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×13224332160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224332161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62674455 + ... + 62674665.

It is an arithmetic number, because the mean of its divisors is an integer number (68872440).

Almost surely, 2^13224332160 is an apocalyptic number.

13224332160 is a gapful number since it is divisible by the number (10) 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 13224332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447016960).

13224332160 is an abundant number, since it is smaller than the sum of its proper divisors (39669701760).

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

13224332160 is a wasteful number, since it uses less digits than its factorization.

13224332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13224332160 its reverse (6123342231), we get a palindrome (19347674391).

The spelling of 13224332160 in words is "thirteen billion, two hundred twenty-four million, three hundred thirty-two thousand, one hundred sixty".