216352116 has 72 divisors (see below), whose sum is σ = 563026464. Its totient is φ = 70021440.

The previous prime is 216352067. The next prime is 216352153. The reversal of 216352116 is 611253612.

216352116 is a `hidden beast` number, since 2 + 1 + 635 + 21 + 1 + 6 = 666.

216352116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216352116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181675 + ... + 182861.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^216352116 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 216352116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281513232).

216352116 is an abundant number, since it is smaller than the sum of its proper divisors (346674348).

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

216352116 is a wasteful number, since it uses less digits than its factorization.

216352116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1336 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 216352116 is about 14708.9128082262. The cubic root of 216352116 is about 600.3258563307.

The spelling of 216352116 in words is "two hundred sixteen million, three hundred fifty-two thousand, one hundred sixteen".