14449969152 has 144 divisors (see below), whose sum is σ = 42754306140. Its totient is φ = 4698931200.

The previous prime is 14449969123. The next prime is 14449969217. The reversal of 14449969152 is 25196994441.

14449969152 is a `hidden beast` number, since 1 + 44 + 499 + 69 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14376969216 + 72999936 = 119904^2 + 8544^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 746152 + ... + 765272.

Almost surely, 2^14449969152 is an apocalyptic number.

14449969152 is a gapful number since it is divisible by the number (12) 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 14449969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21377153070).

14449969152 is an abundant number, since it is smaller than the sum of its proper divisors (28304336988).

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

14449969152 is a wasteful number, since it uses less digits than its factorization.

14449969152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19190 (or 19167 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 14449969152 in words is "fourteen billion, four hundred forty-nine million, nine hundred sixty-nine thousand, one hundred fifty-two".