14449216824 has 288 divisors, whose sum is σ = 49577346000. Its totient is φ = 3775693824.

The previous prime is 14449216823. The next prime is 14449216867. The reversal of 14449216824 is 42861294441.

14449216824 is a `hidden beast` number, since 144 + 492 + 16 + 8 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14449216824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14449216823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1940212 + ... + 1947644.

Almost surely, 2^14449216824 is an apocalyptic number.

14449216824 is a gapful number since it is divisible by the number (14) 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 14449216824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24788673000).

14449216824 is an abundant number, since it is smaller than the sum of its proper divisors (35128129176).

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

14449216824 is a wasteful number, since it uses less digits than its factorization.

14449216824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7493 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 14449216824 in words is "fourteen billion, four hundred forty-nine million, two hundred sixteen thousand, eight hundred twenty-four".