13453444224 has 512 divisors, whose sum is σ = 46610899200. Its totient is φ = 3822059520.

The previous prime is 13453444223. The next prime is 13453444229. The reversal of 13453444224 is 42244435431.

It is a super-2 number, since 2×13453444224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (184320) is a multiple of the sum of its prime factors (320).

It is not an unprimeable number, because it can be changed into a prime (13453444223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52347904 + ... + 52348160.

Almost surely, 2^13453444224 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 13453444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23305449600).

13453444224 is an abundant number, since it is smaller than the sum of its proper divisors (33157454976).

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

13453444224 is an equidigital number, since it uses as much as digits as its factorization.

13453444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 290 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 13453444224 its reverse (42244435431), we get a palindrome (55697879655).

The spelling of 13453444224 in words is "thirteen billion, four hundred fifty-three million, four hundred forty-four thousand, two hundred twenty-four".