14381536 has 48 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 6566400.

The previous prime is 14381533. The next prime is 14381579. The reversal of 14381536 is 63518341.

It is a junction number, because it is equal to n+sod(n) for n = 14381498 and 14381507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14381533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75201 + ... + 75391.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 2^14381536 is an apocalyptic number.

14381536 is a gapful number since it is divisible by the number (16) 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 14381536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

14381536 is an abundant number, since it is smaller than the sum of its proper divisors (16439072).

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

14381536 is a wasteful number, since it uses less digits than its factorization.

14381536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 14381536 is about 3792.2995662263. The cubic root of 14381536 is about 243.1840522206.

Adding to 14381536 its reverse (63518341), we get a palindrome (77899877).

The spelling of 14381536 in words is "fourteen million, three hundred eighty-one thousand, five hundred thirty-six".