268115956992 has 432 divisors, whose sum is σ = 862978950288. Its totient is φ = 79520071680.

The previous prime is 268115956991. The next prime is 268115957023. The reversal of 268115956992 is 299659511862.

268115956992 is a `hidden beast` number, since 2 + 6 + 8 + 11 + 59 + 569 + 9 + 2 = 666.

268115956992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23970816 + 268091986176 = 4896^2 + 517776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268115956991) 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 47 ways as a sum of consecutive naturals, for example, 125228242 + ... + 125230382.

It is an arithmetic number, because the mean of its divisors is an integer number (1997636459).

Almost surely, 2^268115956992 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 268115956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431489475144).

268115956992 is an abundant number, since it is smaller than the sum of its proper divisors (594862993296).

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

268115956992 is a wasteful number, since it uses less digits than its factorization.

268115956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2309 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 63.

The spelling of 268115956992 in words is "two hundred sixty-eight billion, one hundred fifteen million, nine hundred fifty-six thousand, nine hundred ninety-two".