14638464 has 96 divisors (see below), whose sum is σ = 42882840. Its totient is φ = 4792320.

The previous prime is 14638457. The next prime is 14638483. The reversal of 14638464 is 46483641.

14638464 is a `hidden beast` number, since 14 + 638 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 111679 + ... + 111809.

Almost surely, 2^14638464 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 14638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441420).

14638464 is an abundant number, since it is smaller than the sum of its proper divisors (28244376).

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

14638464 is a wasteful number, since it uses less digits than its factorization.

14638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 14638464 is about 3826.0245686613. The cubic root of 14638464 is about 244.6236843949.

The spelling of 14638464 in words is "fourteen million, six hundred thirty-eight thousand, four hundred sixty-four".