14319648 has 72 divisors (see below), whose sum is σ = 46545408. Its totient is φ = 4090752.

The previous prime is 14319647. The next prime is 14319653. The reversal of 14319648 is 84691341.

14319648 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 9 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 (14319647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1536 + ... + 5567.

It is an arithmetic number, because the mean of its divisors is an integer number (646464).

Almost surely, 2^14319648 is an apocalyptic number.

14319648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14319648 is an abundant number, since it is smaller than the sum of its proper divisors (32225760).

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

14319648 is a wasteful number, since it uses less digits than its factorization.

14319648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7115 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14319648 is about 3784.1310759539. The cubic root of 14319648 is about 242.8347196961.

It can be divided in two parts, 143 and 19648, that added together give a palindrome (19791).

The spelling of 14319648 in words is "fourteen million, three hundred nineteen thousand, six hundred forty-eight".