14528118528 has 576 divisors, whose sum is σ = 54385443840. Its totient is φ = 3762339840.

The previous prime is 14528118511. The next prime is 14528118541. The reversal of 14528118528 is 82581182541.

14528118528 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 8 + 118 + 528 = 666.

14528118528 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 (576).

It is a super-2 number, since 2×14528118528² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 43109976 + ... + 43110312.

Almost surely, 2^14528118528 is an apocalyptic number.

14528118528 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 14528118528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27192721920).

14528118528 is an abundant number, since it is smaller than the sum of its proper divisors (39857325312).

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

14528118528 is an frugal number, since it uses more digits than its factorization.

14528118528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 360 counting only the distinct ones).

The product of its digits is 204800, while the sum is 45.

The spelling of 14528118528 in words is "fourteen billion, five hundred twenty-eight million, one hundred eighteen thousand, five hundred twenty-eight".