2217238464168 has 768 divisors, whose sum is σ = 7977295872000. Its totient is φ = 540083884032.

The previous prime is 2217238464163. The next prime is 2217238464179. The reversal of 2217238464168 is 8614648327122.

2217238464168 is a `hidden beast` number, since 2 + 2 + 17 + 2 + 3 + 8 + 464 + 168 = 666.

It is a super-2 number, since 2×2217238464168² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2217238464163) 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 191 ways as a sum of consecutive naturals, for example, 932787396 + ... + 932789772.

It is an arithmetic number, because the mean of its divisors is an integer number (10387104000).

Almost surely, 2^{2217238464168} is an apocalyptic number.

2217238464168 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 2217238464168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988647936000).

2217238464168 is an abundant number, since it is smaller than the sum of its proper divisors (5760057407832).

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

2217238464168 is a wasteful number, since it uses less digits than its factorization.

2217238464168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2607 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 2217238464168 in words is "two trillion, two hundred seventeen billion, two hundred thirty-eight million, four hundred sixty-four thousand, one hundred sixty-eight".