14466144 has 192 divisors, whose sum is σ = 50319360. Its totient is φ = 3525120.

The previous prime is 14466143. The next prime is 14466173. The reversal of 14466144 is 44166441.

14466144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14466143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140397 + ... + 140499.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^14466144 is an apocalyptic number.

14466144 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 14466144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

14466144 is an abundant number, since it is smaller than the sum of its proper divisors (35853216).

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

14466144 is a wasteful number, since it uses less digits than its factorization.

14466144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 14466144 is about 3803.4384443553. The cubic root of 14466144 is about 243.6600120156.

The spelling of 14466144 in words is "fourteen million, four hundred sixty-six thousand, one hundred forty-four".