14684199016960 has 960 divisors, whose sum is σ = 43745918832000. Its totient is φ = 4669265018880.

The previous prime is 14684199016933. The next prime is 14684199016987. The reversal of 14684199016960 is 6961099148641.

It is an interprime number because it is at equal distance from previous prime (14684199016933) and next prime (14684199016987).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 14684199016892 and 14684199016901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8208047746 + ... + 8208049534.

It is an arithmetic number, because the mean of its divisors is an integer number (45568665450).

Almost surely, 2^{14684199016960} is an apocalyptic number.

14684199016960 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 14684199016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21872959416000).

14684199016960 is an abundant number, since it is smaller than the sum of its proper divisors (29061719815040).

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

14684199016960 is a wasteful number, since it uses less digits than its factorization.

14684199016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 64.

The spelling of 14684199016960 in words is "fourteen trillion, six hundred eighty-four billion, one hundred ninety-nine million, sixteen thousand, nine hundred sixty".