2216132683776 has 768 divisors, whose sum is σ = 7579982592000. Its totient is φ = 632710103040.

The previous prime is 2216132683771. The next prime is 2216132683799. The reversal of 2216132683776 is 6773862316122.

It is a happy number.

2216132683776 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 1 + 3 + 268 + 377 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2216132683776² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2216132683771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2692748901 + ... + 2692749723.

It is an arithmetic number, because the mean of its divisors is an integer number (9869769000).

Almost surely, 2^{2216132683776} 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 2216132683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789991296000).

2216132683776 is an abundant number, since it is smaller than the sum of its proper divisors (5363849908224).

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

2216132683776 is a wasteful number, since it uses less digits than its factorization.

2216132683776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1091 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

Adding to 2216132683776 its reverse (6773862316122), we get a palindrome (8989994999898).

The spelling of 2216132683776 in words is "two trillion, two hundred sixteen billion, one hundred thirty-two million, six hundred eighty-three thousand, seven hundred seventy-six".