14420314470464 has 224 divisors, whose sum is σ = 34432049479680. Its totient is φ = 5858364137472.

The previous prime is 14420314470413. The next prime is 14420314470469. The reversal of 14420314470464 is 46407441302441.

14420314470464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (14420314470469) 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, 1278504377 + ... + 1278515655.

Almost surely, 2^{14420314470464} is an apocalyptic number.

14420314470464 is a gapful number since it is divisible by the number (14) 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 14420314470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216024739840).

14420314470464 is an abundant number, since it is smaller than the sum of its proper divisors (20011735009216).

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

14420314470464 is a wasteful number, since it uses less digits than its factorization.

14420314470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12425 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 44.

The spelling of 14420314470464 in words is "fourteen trillion, four hundred twenty billion, three hundred fourteen million, four hundred seventy thousand, four hundred sixty-four".