14005311144 has 64 divisors (see below), whose sum is σ = 40443157440. Its totient is φ = 3994383360.

The previous prime is 14005311107. The next prime is 14005311157. The reversal of 14005311144 is 44111350041.

It is a happy number.

It is a super-3 number, since 3×14005311144³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1555819 + ... + 1564794.

It is an arithmetic number, because the mean of its divisors is an integer number (631924335).

Almost surely, 2^14005311144 is an apocalyptic number.

It is an amenable number.

14005311144 is an abundant number, since it is smaller than the sum of its proper divisors (26437846296).

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

14005311144 is a wasteful number, since it uses less digits than its factorization.

14005311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120650 (or 3120646 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 14005311144 its reverse (44111350041), we get a palindrome (58116661185).

The spelling of 14005311144 in words is "fourteen billion, five million, three hundred eleven thousand, one hundred forty-four".