216188016 has 80 divisors (see below), whose sum is σ = 611591808. Its totient is φ = 65260800.

The previous prime is 216188009. The next prime is 216188083. The reversal of 216188016 is 610881612.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174150 + ... + 175386.

Almost surely, 2^216188016 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 216188016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305795904).

216188016 is an abundant number, since it is smaller than the sum of its proper divisors (395403792).

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

216188016 is a wasteful number, since it uses less digits than its factorization.

216188016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 216188016 is about 14703.3334995844. Note that the first 3 decimals coincide. The cubic root of 216188016 is about 600.1740384017.

The spelling of 216188016 in words is "two hundred sixteen million, one hundred eighty-eight thousand, sixteen".