13446144 has 66 divisors (see below), whose sum is σ = 38852060. Its totient is φ = 4478976.

The previous prime is 13446137. The next prime is 13446161. The reversal of 13446144 is 44164431.

13446144 is a `hidden beast` number, since 1 + 3 + 44 + 614 + 4 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8487 + ... + 9945.

Almost surely, 2^13446144 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 13446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426030).

13446144 is an abundant number, since it is smaller than the sum of its proper divisors (25405916).

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

13446144 is a wasteful number, since it uses less digits than its factorization.

13446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1464 counting only the distinct ones).

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

The square root of 13446144 is about 3666.8984169186. The cubic root of 13446144 is about 237.7931022107.

The spelling of 13446144 in words is "thirteen million, four hundred forty-six thousand, one hundred forty-four".