14986944 has 210 divisors, whose sum is σ = 52555140. Its totient is φ = 4209408.

The previous prime is 14986943. The next prime is 14986957. The reversal of 14986944 is 44968941.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14986944.

It is not an unprimeable number, because it can be changed into a prime (14986943) 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 29 ways as a sum of consecutive naturals, for example, 253987 + ... + 254045.

Almost surely, 2^14986944 is an apocalyptic number.

14986944 is a gapful number since it is divisible by the number (14) 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 14986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26277570).

14986944 is an abundant number, since it is smaller than the sum of its proper divisors (37568196).

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

14986944 is an equidigital number, since it uses as much as digits as its factorization.

14986944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14986944 is about 3871.2974569258. The cubic root of 14986944 is about 246.5496336301.

The spelling of 14986944 in words is "fourteen million, nine hundred eighty-six thousand, nine hundred forty-four".