216891100224 has 392 divisors, whose sum is σ = 689213272320. Its totient is φ = 67539225600.

The previous prime is 216891100213. The next prime is 216891100249. The reversal of 216891100224 is 422001198612.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41941159 + ... + 41946329.

Almost surely, 2^216891100224 is an apocalyptic number.

216891100224 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 216891100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344606636160).

216891100224 is an abundant number, since it is smaller than the sum of its proper divisors (472322172096).

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

216891100224 is an equidigital number, since it uses as much as digits as its factorization.

216891100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 216891100224 its reverse (422001198612), we get a palindrome (638892298836).

The spelling of 216891100224 in words is "two hundred sixteen billion, eight hundred ninety-one million, one hundred thousand, two hundred twenty-four".