14506641 has 32 divisors (see below), whose sum is σ = 22579200. Its totient is φ = 9192960.

The previous prime is 14506637. The next prime is 14506669. The reversal of 14506641 is 14660541.

14506641 is a `hidden beast` number, since 14 + 5 + 0 + 6 + 641 = 666.

It is not a de Polignac number, because 14506641 - 2² = 14506637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14506841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75856 + ... + 76046.

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

Almost surely, 2^14506641 is an apocalyptic number.

It is an amenable number.

14506641 is a deficient number, since it is larger than the sum of its proper divisors (8072559).

14506641 is a wasteful number, since it uses less digits than its factorization.

14506641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

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

The square root of 14506641 is about 3808.7584591307. The cubic root of 14506641 is about 243.8871701304.

The spelling of 14506641 in words is "fourteen million, five hundred six thousand, six hundred forty-one".