14914144 has 48 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 6332544.

The previous prime is 14914129. The next prime is 14914171. The reversal of 14914144 is 44141941.

14914144 = T₃₉₂ + T₃₉₃ + ... + T₅₃₀.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30897 + ... + 31375.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 2^14914144 is an apocalyptic number.

14914144 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 14914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

14914144 is an abundant number, since it is smaller than the sum of its proper divisors (18954656).

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

14914144 is a wasteful number, since it uses less digits than its factorization.

14914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 14914144 is about 3861.8834783043. The cubic root of 14914144 is about 246.1497754936.

The spelling of 14914144 in words is "fourteen million, nine hundred fourteen thousand, one hundred forty-four".