2266216178688 has 2112 divisors, whose sum is σ = 9032634777600. Its totient is φ = 548403609600.

The previous prime is 2266216178671. The next prime is 2266216178701. The reversal of 2266216178688 is 8868716126622.

2266216178688 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 2 + 1 + 617 + 8 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×2266216178688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 31918537693 + ... + 31918537763.

Almost surely, 2^{2266216178688} is an apocalyptic number.

2266216178688 is a gapful number since it is divisible by the number (28) 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 2266216178688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516317388800).

2266216178688 is an abundant number, since it is smaller than the sum of its proper divisors (6766418598912).

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

2266216178688 is a wasteful number, since it uses less digits than its factorization.

2266216178688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 170 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 2266216178688 in words is "two trillion, two hundred sixty-six billion, two hundred sixteen million, one hundred seventy-eight thousand, six hundred eighty-eight".