14493312 has 96 divisors (see below), whose sum is σ = 43598880. Its totient is φ = 4612608.

The previous prime is 14493293. The next prime is 14493317. The reversal of 14493312 is 21339441.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (14493317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26223 + ... + 26769.

It is an arithmetic number, because the mean of its divisors is an integer number (454155).

Almost surely, 2^14493312 is an apocalyptic number.

14493312 is a gapful number since it is divisible by the number (12) 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 14493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21799440).

14493312 is an abundant number, since it is smaller than the sum of its proper divisors (29105568).

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

14493312 is a wasteful number, since it uses less digits than its factorization.

14493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 14493312 is about 3807.0082742227. The cubic root of 14493312 is about 243.8124510592.

It can be divided in two parts, 1449 and 3312, that added together give a square (4761 = 69²).

The spelling of 14493312 in words is "fourteen million, four hundred ninety-three thousand, three hundred twelve".