14456486432 has 48 divisors (see below), whose sum is σ = 29429568000. Its totient is φ = 6983109120.

The previous prime is 14456486431. The next prime is 14456486479. The reversal of 14456486432 is 23468465441.

It is a happy number.

14456486432 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 (14456486431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 582044 + ... + 606372.

It is an arithmetic number, because the mean of its divisors is an integer number (613116000).

Almost surely, 2^14456486432 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 14456486432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714784000).

14456486432 is an abundant number, since it is smaller than the sum of its proper divisors (14973081568).

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

14456486432 is a wasteful number, since it uses less digits than its factorization.

14456486432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24969 (or 24961 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 47.

The spelling of 14456486432 in words is "fourteen billion, four hundred fifty-six million, four hundred eighty-six thousand, four hundred thirty-two".