216183268224 has 1024 divisors, whose sum is σ = 833690880000. Its totient is φ = 53508833280.

The previous prime is 216183268163. The next prime is 216183268237. The reversal of 216183268224 is 422862381612.

216183268224 is a `hidden beast` number, since 2 + 1 + 618 + 3 + 2 + 6 + 8 + 2 + 24 = 666.

It is a super-2 number, since 2×216183268224² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 216183268224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 841179904 + ... + 841180160.

It is an arithmetic number, because the mean of its divisors is an integer number (814151250).

Almost surely, 2^216183268224 is an apocalyptic number.

216183268224 is a gapful number since it is divisible by the number (24) 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 216183268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416845440000).

216183268224 is an abundant number, since it is smaller than the sum of its proper divisors (617507611776).

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

216183268224 is a wasteful number, since it uses less digits than its factorization.

216183268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 216183268224 in words is "two hundred sixteen billion, one hundred eighty-three million, two hundred sixty-eight thousand, two hundred twenty-four".