14445648 has 160 divisors (see below), whose sum is σ = 50353920. Its totient is φ = 3870720.

The previous prime is 14445637. The next prime is 14445649. The reversal of 14445648 is 84654441.

It is a happy number.

14445648 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 5 + 648 = 666.

It is a super-2 number, since 2×14445648² = 417353492279808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14445649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 51268 + ... + 51548.

It is an arithmetic number, because the mean of its divisors is an integer number (314712).

Almost surely, 2^14445648 is an apocalyptic number.

14445648 is a gapful number since it is divisible by the number (18) 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 14445648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25176960).

14445648 is an abundant number, since it is smaller than the sum of its proper divisors (35908272).

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

14445648 is a wasteful number, since it uses less digits than its factorization.

14445648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 14445648 is about 3800.7430852400. The cubic root of 14445648 is about 243.5448830627.

The spelling of 14445648 in words is "fourteen million, four hundred forty-five thousand, six hundred forty-eight".