268308216384 has 224 divisors, whose sum is σ = 769374111744. Its totient is φ = 82032936960.

The previous prime is 268308216383. The next prime is 268308216389. The reversal of 268308216384 is 483612803862.

268308216384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×268308216384⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (268308216383) 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 31 ways as a sum of consecutive naturals, for example, 476568487 + ... + 476569049.

It is an arithmetic number, because the mean of its divisors is an integer number (3434705856).

Almost surely, 2^268308216384 is an apocalyptic number.

268308216384 is a gapful number since it is divisible by the number (24) 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 268308216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384687055872).

268308216384 is an abundant number, since it is smaller than the sum of its proper divisors (501065895360).

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

268308216384 is a wasteful number, since it uses less digits than its factorization.

268308216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 268308216384 in words is "two hundred sixty-eight billion, three hundred eight million, two hundred sixteen thousand, three hundred eighty-four".