268550331168 has 384 divisors, whose sum is σ = 863812325376. Its totient is φ = 71309721600.

The previous prime is 268550331089. The next prime is 268550331187. The reversal of 268550331168 is 861133055862.

268550331168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 465424896 + ... + 465425472.

It is an arithmetic number, because the mean of its divisors is an integer number (2249511264).

Almost surely, 2^268550331168 is an apocalyptic number.

268550331168 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 268550331168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431906162688).

268550331168 is an abundant number, since it is smaller than the sum of its proper divisors (595261994208).

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

268550331168 is a wasteful number, since it uses less digits than its factorization.

268550331168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 268550331168 in words is "two hundred sixty-eight billion, five hundred fifty million, three hundred thirty-one thousand, one hundred sixty-eight".