216216468 has 144 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 62270208.

The previous prime is 216216463. The next prime is 216216479. The reversal of 216216468 is 864612612.

216216468 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 1 + 646 + 8 = 666.

216216468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216216468² = 93499122068790048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216216461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570303 + ... + 570681.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^216216468 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 216216468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

216216468 is an abundant number, since it is smaller than the sum of its proper divisors (411203052).

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

216216468 is a wasteful number, since it uses less digits than its factorization.

216216468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 216216468 is about 14704.3010034479. The cubic root of 216216468 is about 600.2003664147.

The spelling of 216216468 in words is "two hundred sixteen million, two hundred sixteen thousand, four hundred sixty-eight".