14641056 has 72 divisors (see below), whose sum is σ = 43095780. Its totient is φ = 4709376.

The previous prime is 14641051. The next prime is 14641069. The reversal of 14641056 is 65014641.

14641056 is a `hidden beast` number, since 14 + 641 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 1245456 = 3660^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14641051) 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, 7476 + ... + 9228.

Almost surely, 2^14641056 is an apocalyptic number.

14641056 is a gapful number since it is divisible by the number (16) 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 14641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547890).

14641056 is an abundant number, since it is smaller than the sum of its proper divisors (28454724).

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

14641056 is a wasteful number, since it uses less digits than its factorization.

14641056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14641056 is about 3826.3632864641. The cubic root of 14641056 is about 244.6381218653.

Adding to 14641056 its reverse (65014641), we get a palindrome (79655697).

The spelling of 14641056 in words is "fourteen million, six hundred forty-one thousand, fifty-six".