2216656456336 has 45 divisors (see below), whose sum is σ = 4996053089001. Its totient is φ = 949977758016.

The previous prime is 2216656456303. The next prime is 2216656456337. The reversal of 2216656456336 is 6336546566122.

The square root of 2216656456336 is 1488844.

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

It can be written as a sum of positive squares in only one way, i.e., 1318225459600 + 898430996736 = 1148140^2 + 947856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2216656456337) by changing a digit.

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, 41661046 + ... + 41714218.

Almost surely, 2^{2216656456336} is an apocalyptic number.

2216656456336 is the 1488844-th square number.

It is an amenable number.

2216656456336 is an abundant number, since it is smaller than the sum of its proper divisors (2779396632665).

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

2216656456336 is an frugal number, since it uses more digits than its factorization.

2216656456336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106368 (or 53182 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 55.

The spelling of 2216656456336 in words is "two trillion, two hundred sixteen billion, six hundred fifty-six million, four hundred fifty-six thousand, three hundred thirty-six".