14589328512 has 256 divisors, whose sum is σ = 43704535680. Its totient is φ = 4273274880.

The previous prime is 14589328493. The next prime is 14589328517. The reversal of 14589328512 is 21582398541.

14589328512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14589328512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14589328517) 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 31 ways as a sum of consecutive naturals, for example, 43291608 + ... + 43291944.

Almost surely, 2^14589328512 is an apocalyptic number.

14589328512 is a gapful number since it is divisible by the number (12) 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 14589328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852267840).

14589328512 is an abundant number, since it is smaller than the sum of its proper divisors (29115207168).

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

14589328512 is a wasteful number, since it uses less digits than its factorization.

14589328512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The spelling of 14589328512 in words is "fourteen billion, five hundred eighty-nine million, three hundred twenty-eight thousand, five hundred twelve".