14364144 has 60 divisors (see below), whose sum is σ = 41957136. Its totient is φ = 4578816.

The previous prime is 14364143. The next prime is 14364149. The reversal of 14364144 is 44146341.

14364144 is a `hidden beast` number, since 14 + 3 + 641 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (14364143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1144 + ... + 5480.

Almost surely, 2^14364144 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 14364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20978568).

14364144 is an abundant number, since it is smaller than the sum of its proper divisors (27592992).

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

14364144 is a wasteful number, since it uses less digits than its factorization.

14364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4365 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 14364144 is about 3790.0058047449. The cubic root of 14364144 is about 243.0859828833.

The spelling of 14364144 in words is "fourteen million, three hundred sixty-four thousand, one hundred forty-four".