14943988800 has 252 divisors, whose sum is σ = 57200909220. Its totient is φ = 3678474240.

The previous prime is 14943988799. The next prime is 14943988817. The reversal of 14943988800 is 888934941.

14943988800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1294272576 + 13649716224 = 35976^2 + 116832^2 .

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 35 ways as a sum of consecutive naturals, for example, 147286 + ... + 227114.

It is an arithmetic number, because the mean of its divisors is an integer number (226987735).

Almost surely, 2^14943988800 is an apocalyptic number.

14943988800 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 14943988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28600454610).

14943988800 is an abundant number, since it is smaller than the sum of its proper divisors (42256920420).

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

14943988800 is a wasteful number, since it uses less digits than its factorization.

14943988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79870 (or 79852 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 14943988800 in words is "fourteen billion, nine hundred forty-three million, nine hundred eighty-eight thousand, eight hundred".