14862144 has 112 divisors (see below), whose sum is σ = 44476416. Its totient is φ = 4339200.

The previous prime is 14862121. The next prime is 14862149. The reversal of 14862144 is 44126841.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14862149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65359 + ... + 65585.

Almost surely, 2^14862144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208).

14862144 is an abundant number, since it is smaller than the sum of its proper divisors (29614272).

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

14862144 is a wasteful number, since it uses less digits than its factorization.

14862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14862144 is about 3855.1451334548. The cubic root of 14862144 is about 245.8633651970.

Adding to 14862144 its reverse (44126841), we get a palindrome (58988985).

The spelling of 14862144 in words is "fourteen million, eight hundred sixty-two thousand, one hundred forty-four".