2168273782368 has 144 divisors (see below), whose sum is σ = 6395208739920. Its totient is φ = 722666520576.

The previous prime is 2168273782361. The next prime is 2168273782397. The reversal of 2168273782368 is 8632873728612.

2168273782368 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 27 + 378 + 236 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2168273782368² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168273782361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93059296 + ... + 93082592.

It is an arithmetic number, because the mean of its divisors is an integer number (44411171805).

Almost surely, 2^{2168273782368} 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 2168273782368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197604369960).

2168273782368 is an abundant number, since it is smaller than the sum of its proper divisors (4226934957552).

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

2168273782368 is a wasteful number, since it uses less digits than its factorization.

2168273782368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35291 (or 35271 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 2168273782368 in words is "two trillion, one hundred sixty-eight billion, two hundred seventy-three million, seven hundred eighty-two thousand, three hundred sixty-eight".