14469583342368 has 768 divisors, whose sum is σ = 50043164774400. Its totient is φ = 3656346946560.

The previous prime is 14469583342351. The next prime is 14469583342387. The reversal of 14469583342368 is 86324338596441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 14469583342299 and 14469583342308.

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 127 ways as a sum of consecutive naturals, for example, 1621600755 + ... + 1621609677.

It is an arithmetic number, because the mean of its divisors is an integer number (65160370800).

Almost surely, 2^{14469583342368} 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 14469583342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021582387200).

14469583342368 is an abundant number, since it is smaller than the sum of its proper divisors (35573581432032).

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

14469583342368 is an equidigital number, since it uses as much as digits as its factorization.

14469583342368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027 (or 8983 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 66.

The spelling of 14469583342368 in words is "fourteen trillion, four hundred sixty-nine billion, five hundred eighty-three million, three hundred forty-two thousand, three hundred sixty-eight".