216204912 has 480 divisors, whose sum is σ = 846802944. Its totient is φ = 49766400.

The previous prime is 216204893. The next prime is 216204953. The reversal of 216204912 is 219402612.

216204912 is a `hidden beast` number, since 21 + 620 + 4 + 9 + 12 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5843358 + ... + 5843394.

Almost surely, 2^216204912 is an apocalyptic number.

216204912 is a gapful number since it is divisible by the number (22) 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 216204912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423401472).

216204912 is an abundant number, since it is smaller than the sum of its proper divisors (630598032).

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

216204912 is a wasteful number, since it uses less digits than its factorization.

216204912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 216204912 is about 14703.9080519432. The cubic root of 216204912 is about 600.1896733670.

The spelling of 216204912 in words is "two hundred sixteen million, two hundred four thousand, nine hundred twelve".