216815284224 has 1456 divisors, whose sum is σ = 866340969984. Its totient is φ = 52553318400.

The previous prime is 216815284171. The next prime is 216815284229. The reversal of 216815284224 is 422482518612.

It is a happy number.

216815284224 is a `hidden beast` number, since 2 + 1 + 6 + 81 + 528 + 42 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216815284224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216815284229) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5288177644 + ... + 5288177684.

Almost surely, 2^216815284224 is an apocalyptic number.

216815284224 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 216815284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433170484992).

216815284224 is an abundant number, since it is smaller than the sum of its proper divisors (649525685760).

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

216815284224 is an equidigital number, since it uses as much as digits as its factorization.

216815284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 216815284224 in words is "two hundred sixteen billion, eight hundred fifteen million, two hundred eighty-four thousand, two hundred twenty-four".