216819488 has 54 divisors (see below), whose sum is σ = 453824721. Its totient is φ = 101954304.

The previous prime is 216819467. The next prime is 216819509. The reversal of 216819488 is 884918612.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (216819467) and next prime (216819509).

It can be written as a sum of positive squares in 2 ways, for example, as 215150224 + 1669264 = 14668^2 + 1292^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10412.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1582556 + ... + 1582692.

Almost surely, 2^216819488 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 216819488

216819488 is an abundant number, since it is smaller than the sum of its proper divisors (237005233).

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

216819488 is an equidigital number, since it uses as much as digits as its factorization.

216819488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 158 counting only the distinct ones).

The product of its digits is 221184, while the sum is 47.

The square root of 216819488 is about 14724.7916114287. The cubic root of 216819488 is about 600.7578276111.

The spelling of 216819488 in words is "two hundred sixteen million, eight hundred nineteen thousand, four hundred eighty-eight".