14445984 has 144 divisors (see below), whose sum is σ = 45849888. Its totient is φ = 3967488.

The previous prime is 14445983. The next prime is 14445989. The reversal of 14445984 is 48954441.

14445984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14445983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174007 + ... + 174089.

It is an arithmetic number, because the mean of its divisors is an integer number (318402).

Almost surely, 2^14445984 is an apocalyptic number.

14445984 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 14445984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924944).

14445984 is an abundant number, since it is smaller than the sum of its proper divisors (31403904).

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

14445984 is a wasteful number, since it uses less digits than its factorization.

14445984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 14445984 is about 3800.7872868657. The cubic root of 14445984 is about 243.5467713003.

The spelling of 14445984 in words is "fourteen million, four hundred forty-five thousand, nine hundred eighty-four".