14944549440 has 336 divisors, whose sum is σ = 49830996096. Its totient is φ = 3794042880.

The previous prime is 14944549379. The next prime is 14944549457. The reversal of 14944549440 is 4494544941.

14944549440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14944549440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89488237 + ... + 89488403.

It is an arithmetic number, because the mean of its divisors is an integer number (148306536).

Almost surely, 2^14944549440 is an apocalyptic number.

14944549440 is a gapful number since it is divisible by the number (10) 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 14944549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915498048).

14944549440 is an abundant number, since it is smaller than the sum of its proper divisors (34886446656).

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

14944549440 is a wasteful number, since it uses less digits than its factorization.

14944549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 14944549440 in words is "fourteen billion, nine hundred forty-four million, five hundred forty-nine thousand, four hundred forty".