14496944 has 90 divisors (see below), whose sum is σ = 36534492. Its totient is φ = 5510400.

The previous prime is 14496917. The next prime is 14496947. The reversal of 14496944 is 44969441.

It is a happy number.

14496944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14496944² = 420322770678272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (14496947) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 353564 + ... + 353604.

Almost surely, 2^14496944 is an apocalyptic number.

14496944 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 14496944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18267246).

14496944 is an abundant number, since it is smaller than the sum of its proper divisors (22037548).

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

14496944 is a wasteful number, since it uses less digits than its factorization.

14496944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 61 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 14496944 is about 3807.4852593280. The cubic root of 14496944 is about 243.8328156904.

The spelling of 14496944 in words is "fourteen million, four hundred ninety-six thousand, nine hundred forty-four".