14545456128 has 264 divisors, whose sum is σ = 50091694848. Its totient is φ = 3974750208.

The previous prime is 14545456043. The next prime is 14545456141. The reversal of 14545456128 is 82165454541.

14545456128 is a `hidden beast` number, since 1 + 4 + 545 + 45 + 61 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1478875 + ... + 1488677.

Almost surely, 2^14545456128 is an apocalyptic number.

14545456128 is a gapful number since it is divisible by the number (18) 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 14545456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25045847424).

14545456128 is an abundant number, since it is smaller than the sum of its proper divisors (35546238720).

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

14545456128 is a wasteful number, since it uses less digits than its factorization.

14545456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9838 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 14545456128 in words is "fourteen billion, five hundred forty-five million, four hundred fifty-six thousand, one hundred twenty-eight".