219104385328 has 160 divisors (see below), whose sum is σ = 463197139200. Its totient is φ = 100175781888.

The previous prime is 219104385323. The next prime is 219104385373. The reversal of 219104385328 is 823583401912.

219104385328 is digitally balanced in base 3, 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 (219104385323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99006750 + ... + 99008962.

It is an arithmetic number, because the mean of its divisors is an integer number (2894982120).

Almost surely, 2^219104385328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219104385328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231598569600).

219104385328 is an abundant number, since it is smaller than the sum of its proper divisors (244092753872).

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

219104385328 is a wasteful number, since it uses less digits than its factorization.

219104385328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 219104385328 in words is "two hundred nineteen billion, one hundred four million, three hundred eighty-five thousand, three hundred twenty-eight".