268117158816 has 432 divisors, whose sum is σ = 851780966400. Its totient is φ = 79925833728.

The previous prime is 268117158769. The next prime is 268117158821. The reversal of 268117158816 is 618851711862.

268117158816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 209629665 + ... + 209630943.

It is an arithmetic number, because the mean of its divisors is an integer number (1971715200).

Almost surely, 2^268117158816 is an apocalyptic number.

268117158816 is a gapful number since it is divisible by the number (26) 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 268117158816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425890483200).

268117158816 is an abundant number, since it is smaller than the sum of its proper divisors (583663807584).

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

268117158816 is a wasteful number, since it uses less digits than its factorization.

268117158816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1429 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 268117158816 in words is "two hundred sixty-eight billion, one hundred seventeen million, one hundred fifty-eight thousand, eight hundred sixteen".