14314747363008 has 224 divisors, whose sum is σ = 39322304765952. Its totient is φ = 4590983577600.

The previous prime is 14314747363001. The next prime is 14314747363093. The reversal of 14314747363008 is 80036374741341.

14314747363008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14314747363001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2895960985 + ... + 2895965927.

Almost surely, 2^{14314747363008} 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 14314747363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661152382976).

14314747363008 is an abundant number, since it is smaller than the sum of its proper divisors (25007557402944).

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

14314747363008 is a wasteful number, since it uses less digits than its factorization.

14314747363008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 14314747363008 in words is "fourteen trillion, three hundred fourteen billion, seven hundred forty-seven million, three hundred sixty-three thousand, eight".