2213858313216 has 297 divisors, whose sum is σ = 7031421948733. Its totient is φ = 670390026240.

The previous prime is 2213858313209. The next prime is 2213858313239. The reversal of 2213858313216 is 6123138583122.

The square root of 2213858313216 is 1487904.

It is a perfect power (a square), and thus also a powerful number.

2213858313216 is a `hidden beast` number, since 2 + 2 + 1 + 38 + 583 + 1 + 32 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28191753216 + 2185666560000 = 167904^2 + 1478400^2 .

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 26 ways as a sum of consecutive naturals, for example, 1571225920 + ... + 1571227328.

Almost surely, 2^{2213858313216} is an apocalyptic number.

2213858313216 is the 1487904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213858313216

2213858313216 is an abundant number, since it is smaller than the sum of its proper divisors (4817563635517).

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

2213858313216 is an equidigital number, since it uses as much as digits as its factorization.

2213858313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 1425 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 2213858313216 in words is "two trillion, two hundred thirteen billion, eight hundred fifty-eight million, three hundred thirteen thousand, two hundred sixteen".