14450327789568 has 336 divisors, whose sum is σ = 44582486460960. Its totient is φ = 4148403240960.

The previous prime is 14450327789551. The next prime is 14450327789581. The reversal of 14450327789568 is 86598772305441.

It is a super-2 number, since 2×14450327789568² (a number of 27 digits) contains 22 as substring.

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, 56372346 + ... + 56628102.

It is an arithmetic number, because the mean of its divisors is an integer number (132685971610).

It is a 1-persistent number, because it is pandigital, but 2⋅14450327789568 = 28900655579136 is not.

Almost surely, 2^{14450327789568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14450327789568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291243230480).

14450327789568 is an abundant number, since it is smaller than the sum of its proper divisors (30132158671392).

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

14450327789568 is a wasteful number, since it uses less digits than its factorization.

14450327789568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255827 (or 255792 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 69.

The spelling of 14450327789568 in words is "fourteen trillion, four hundred fifty billion, three hundred twenty-seven million, seven hundred eighty-nine thousand, five hundred sixty-eight".