14438748960 has 192 divisors, whose sum is σ = 51160757760. Its totient is φ = 3850239744.

The previous prime is 14438748949. The next prime is 14438748979. The reversal of 14438748960 is 6984783441.

14438748960 is a `hidden beast` number, since 1 + 4 + 438 + 74 + 89 + 60 = 666.

14438748960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14438748897 and 14438748906.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 329289 + ... + 370551.

It is an arithmetic number, because the mean of its divisors is an integer number (266462280).

Almost surely, 2^14438748960 is an apocalyptic number.

14438748960 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 14438748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25580378880).

14438748960 is an abundant number, since it is smaller than the sum of its proper divisors (36722008800).

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

14438748960 is an frugal number, since it uses more digits than its factorization.

14438748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41299 (or 41273 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 14438748960 in words is "fourteen billion, four hundred thirty-eight million, seven hundred forty-eight thousand, nine hundred sixty".