14011264 has 64 divisors (see below), whose sum is σ = 30404160. Its totient is φ = 6406144.

The previous prime is 14011259. The next prime is 14011267. The reversal of 14011264 is 46211041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102204 + ... + 102340.

It is an arithmetic number, because the mean of its divisors is an integer number (475065).

Almost surely, 2^14011264 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 14011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202080).

14011264 is an abundant number, since it is smaller than the sum of its proper divisors (16392896).

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

14011264 is a wasteful number, since it uses less digits than its factorization.

14011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14011264 is about 3743.1622994468. The cubic root of 14011264 is about 241.0788468102.

The spelling of 14011264 in words is "fourteen million, eleven thousand, two hundred sixty-four".