16128545832 has 384 divisors, whose sum is σ = 53194752000. Its totient is φ = 4318479360.

The previous prime is 16128545777. The next prime is 16128545833. The reversal of 16128545832 is 23854582161.

16128545832 is a `hidden beast` number, since 1 + 6 + 1 + 28 + 545 + 83 + 2 = 666.

It is a super-3 number, since 3×16128545832³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16128545833) 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 95 ways as a sum of consecutive naturals, for example, 90103519 + ... + 90103697.

It is an arithmetic number, because the mean of its divisors is an integer number (138528000).

Almost surely, 2^16128545832 is an apocalyptic number.

16128545832 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 16128545832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26597376000).

16128545832 is an abundant number, since it is smaller than the sum of its proper divisors (37066206168).

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

16128545832 is a wasteful number, since it uses less digits than its factorization.

16128545832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 16128545832 in words is "sixteen billion, one hundred twenty-eight million, five hundred forty-five thousand, eight hundred thirty-two".