14006112960 has 336 divisors, whose sum is σ = 54455811840. Its totient is φ = 3032709120.

The previous prime is 14006112947. The next prime is 14006112971. The reversal of 14006112960 is 6921160041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 885925 + ... + 901595.

Almost surely, 2^14006112960 is an apocalyptic number.

14006112960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14006112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27227905920).

14006112960 is an abundant number, since it is smaller than the sum of its proper divisors (40449698880).

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

14006112960 is a wasteful number, since it uses less digits than its factorization.

14006112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15724 (or 15707 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 14006112960 in words is "fourteen billion, six million, one hundred twelve thousand, nine hundred sixty".