13128546816 has 480 divisors, whose sum is σ = 47738515968. Its totient is φ = 3374161920.

The previous prime is 13128546797. The next prime is 13128546817. The reversal of 13128546816 is 61864582131.

13128546816 is a `hidden beast` number, since 1 + 3 + 1 + 28 + 546 + 81 + 6 = 666.

Its product of digits (276480) is a multiple of the sum of its prime factors (432).

It is not an unprimeable number, because it can be changed into a prime (13128546817) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 57834895 + ... + 57835121.

Almost surely, 2^13128546816 is an apocalyptic number.

13128546816 is a gapful number since it is divisible by the number (16) 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 13128546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23869257984).

13128546816 is an abundant number, since it is smaller than the sum of its proper divisors (34609969152).

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

13128546816 is a wasteful number, since it uses less digits than its factorization.

13128546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 13128546816 in words is "thirteen billion, one hundred twenty-eight million, five hundred forty-six thousand, eight hundred sixteen".