14011008 has 128 divisors (see below), whose sum is σ = 42301440. Its totient is φ = 4070400.

The previous prime is 14011001. The next prime is 14011013. The reversal of 14011008 is 80011041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×14011008³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130891 + ... + 130997.

It is an arithmetic number, because the mean of its divisors is an integer number (330480).

Almost surely, 2^14011008 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 14011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

14011008 is an abundant number, since it is smaller than the sum of its proper divisors (28290432).

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

14011008 is a wasteful number, since it uses less digits than its factorization.

14011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 14011008 is about 3743.1281036053. The cubic root of 14011008 is about 241.0773785496.

Adding to 14011008 its reverse (80011041), we get a palindrome (94022049).

The spelling of 14011008 in words is "fourteen million, eleven thousand, eight".