14781312 has 256 divisors, whose sum is σ = 54835200. Its totient is φ = 3815424.

The previous prime is 14781311. The next prime is 14781317. The reversal of 14781312 is 21318741.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14781311) 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, 314473 + ... + 314519.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 2^14781312 is an apocalyptic number.

14781312 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 14781312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417600).

14781312 is an abundant number, since it is smaller than the sum of its proper divisors (40053888).

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

14781312 is a wasteful number, since it uses less digits than its factorization.

14781312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 14781312 is about 3844.6471879745. The cubic root of 14781312 is about 245.4168220366.

The spelling of 14781312 in words is "fourteen million, seven hundred eighty-one thousand, three hundred twelve".