14451434221000 has 384 divisors, whose sum is σ = 41072571970560. Its totient is φ = 4736483136000.

The previous prime is 14451434220959. The next prime is 14451434221013. The reversal of 14451434221000 is 12243415441.

It is a happy number.

14451434221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2685638310 + ... + 2685643690.

It is an arithmetic number, because the mean of its divisors is an integer number (106959822840).

Almost surely, 2^{14451434221000} is an apocalyptic number.

14451434221000 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 14451434221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536285985280).

14451434221000 is an abundant number, since it is smaller than the sum of its proper divisors (26621137749560).

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

14451434221000 is a wasteful number, since it uses less digits than its factorization.

14451434221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7822 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 14451434221000 its reverse (12243415441), we get a palindrome (14463677636441).

The spelling of 14451434221000 in words is "fourteen trillion, four hundred fifty-one billion, four hundred thirty-four million, two hundred twenty-one thousand".