14484967200 has 432 divisors, whose sum is σ = 57238586496. Its totient is φ = 3415910400.

The previous prime is 14484967199. The next prime is 14484967201. The reversal of 14484967200 is 276948441.

14484967200 is a `hidden beast` number, since 14 + 484 + 96 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14484967199) and next prime (14484967201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14484967201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2927929 + ... + 2932871.

It is an arithmetic number, because the mean of its divisors is an integer number (132496728).

Almost surely, 2^14484967200 is an apocalyptic number.

14484967200 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 14484967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619293248).

14484967200 is an abundant number, since it is smaller than the sum of its proper divisors (42753619296).

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

14484967200 is a wasteful number, since it uses less digits than its factorization.

14484967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14484967200 in words is "fourteen billion, four hundred eighty-four million, nine hundred sixty-seven thousand, two hundred".