14984734712832 has 264 divisors, whose sum is σ = 44367323869440. Its totient is φ = 4868503879680.

The previous prime is 14984734712807. The next prime is 14984734712873. The reversal of 14984734712832 is 23821743748941.

It is a happy number.

14984734712832 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 4 + 7 + 347 + 1 + 283 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14984734712832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189782482 + ... + 189861422.

It is an arithmetic number, because the mean of its divisors is an integer number (168058044960).

Almost surely, 2^{14984734712832} is an apocalyptic number.

14984734712832 is a gapful number since it is divisible by the number (12) 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 14984734712832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183661934720).

14984734712832 is an abundant number, since it is smaller than the sum of its proper divisors (29382589156608).

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

14984734712832 is a wasteful number, since it uses less digits than its factorization.

14984734712832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79489 (or 79468 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 14984734712832 in words is "fourteen trillion, nine hundred eighty-four billion, seven hundred thirty-four million, seven hundred twelve thousand, eight hundred thirty-two".