14484096000 has 880 divisors, whose sum is σ = 59349768192. Its totient is φ = 3483648000.

The previous prime is 14484095947. The next prime is 14484096007. The reversal of 14484096000 is 69048441.

It is a happy number.

14484096000 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 40 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is not an unprimeable number, because it can be changed into a prime (14484096007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114047937 + ... + 114048063.

Almost surely, 2^14484096000 is an apocalyptic number.

14484096000 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 14484096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29674884096).

14484096000 is an abundant number, since it is smaller than the sum of its proper divisors (44865672192).

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

14484096000 is a wasteful number, since it uses less digits than its factorization.

14484096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14484096000 in words is "fourteen billion, four hundred eighty-four million, ninety-six thousand".