16078443188328 has 384 divisors, whose sum is σ = 48957057590400. Its totient is φ = 4872228157440.

The previous prime is 16078443188321. The next prime is 16078443188347. The reversal of 16078443188328 is 82388134487061.

It is a happy number.

16078443188328 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 8 + 443 + 188 + 3 + 2 + 8 = 666.

16078443188328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16078443188321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1986705850 + ... + 1986713942.

It is an arithmetic number, because the mean of its divisors is an integer number (127492337475).

Almost surely, 2^{16078443188328} is an apocalyptic number.

16078443188328 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 16078443188328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478528795200).

16078443188328 is an abundant number, since it is smaller than the sum of its proper divisors (32878614402072).

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

16078443188328 is a wasteful number, since it uses less digits than its factorization.

16078443188328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 16078443188328 in words is "sixteen trillion, seventy-eight billion, four hundred forty-three million, one hundred eighty-eight thousand, three hundred twenty-eight".