13283344224 has 108 divisors (see below), whose sum is σ = 39203561124. Its totient is φ = 4424393664.

The previous prime is 13283344177. The next prime is 13283344267. The reversal of 13283344224 is 42244338231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13283344224 is a `hidden beast` number, since 13 + 2 + 83 + 344 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10162579 + ... + 10163885.

Almost surely, 2^13283344224 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 13283344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601780562).

13283344224 is an abundant number, since it is smaller than the sum of its proper divisors (25920216900).

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

13283344224 is an frugal number, since it uses more digits than its factorization.

13283344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 1312 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 13283344224 in words is "thirteen billion, two hundred eighty-three million, three hundred forty-four thousand, two hundred twenty-four".