268166352064 has 56 divisors (see below), whose sum is σ = 573644176560. Its totient is φ = 123646516224.

The previous prime is 268166352001. The next prime is 268166352067. The reversal of 268166352064 is 460253661862.

It is a junction number, because it is equal to n+sod(n) for n = 268166351999 and 268166352017.

It is not an unprimeable number, because it can be changed into a prime (268166352067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683727 + ... + 1001905.

It is an arithmetic number, because the mean of its divisors is an integer number (10243646010).

Almost surely, 2^268166352064 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 268166352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286822088280).

268166352064 is an abundant number, since it is smaller than the sum of its proper divisors (305477824496).

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

268166352064 is a wasteful number, since it uses less digits than its factorization.

268166352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319217 (or 319207 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 268166352064 in words is "two hundred sixty-eight billion, one hundred sixty-six million, three hundred fifty-two thousand, sixty-four".