13224644496 has 600 divisors, whose sum is σ = 47413840320. Its totient is φ = 3541999104.

The previous prime is 13224644483. The next prime is 13224644501. The reversal of 13224644496 is 69444642231.

13224644496 is a `hidden beast` number, since 132 + 24 + 6 + 4 + 4 + 496 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79189405 + ... + 79189571.

Almost surely, 2^13224644496 is an apocalyptic number.

13224644496 is a gapful number since it is divisible by the number (16) 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 13224644496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706920160).

13224644496 is an abundant number, since it is smaller than the sum of its proper divisors (34189195824).

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

13224644496 is a wasteful number, since it uses less digits than its factorization.

13224644496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 13224644496 in words is "thirteen billion, two hundred twenty-four million, six hundred forty-four thousand, four hundred ninety-six".