14697144 has 144 divisors (see below), whose sum is σ = 50210160. Its totient is φ = 3801600.

The previous prime is 14697139. The next prime is 14697167. The reversal of 14697144 is 44179641.

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 junction number, because it is equal to n+sod(n) for n = 14697099 and 14697108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60864 + ... + 61104.

Almost surely, 2^14697144 is an apocalyptic number.

14697144 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 14697144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25105080).

14697144 is an abundant number, since it is smaller than the sum of its proper divisors (35513016).

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

14697144 is a wasteful number, since it uses less digits than its factorization.

14697144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14697144 is about 3833.6854331048. The cubic root of 14697144 is about 244.9501161802.

It can be divided in two parts, 14697 and 144, that added together give a palindrome (14841).

The spelling of 14697144 in words is "fourteen million, six hundred ninety-seven thousand, one hundred forty-four".