216843909376 has 72 divisors (see below), whose sum is σ = 442799671160. Its totient is φ = 105954656256.

The previous prime is 216843909371. The next prime is 216843909391. The reversal of 216843909376 is 673909348612.

It is a happy number.

216843909376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 88908926976 + 127934982400 = 298176^2 + 357680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216843909376.

It is not an unprimeable number, because it can be changed into a prime (216843909371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1983766 + ... + 2090218.

Almost surely, 2^216843909376 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 216843909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221399835580).

216843909376 is an abundant number, since it is smaller than the sum of its proper divisors (225955761784).

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

216843909376 is a wasteful number, since it uses less digits than its factorization.

216843909376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106651 (or 106637 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 216843909376 in words is "two hundred sixteen billion, eight hundred forty-three million, nine hundred nine thousand, three hundred seventy-six".