14313454464 has 128 divisors (see below), whose sum is σ = 38500308000. Its totient is φ = 4711219200.

The previous prime is 14313454429. The next prime is 14313454531. The reversal of 14313454464 is 46445431341.

14313454464 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 (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23815764 + ... + 23816364.

Almost surely, 2^14313454464 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 14313454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19250154000).

14313454464 is an abundant number, since it is smaller than the sum of its proper divisors (24186853536).

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

14313454464 is a wasteful number, since it uses less digits than its factorization.

14313454464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1284 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The spelling of 14313454464 in words is "fourteen billion, three hundred thirteen million, four hundred fifty-four thousand, four hundred sixty-four".