268131416112 has 120 divisors (see below), whose sum is σ = 857700889344. Its totient is φ = 76599510912.

The previous prime is 268131416041. The next prime is 268131416123. The reversal of 268131416112 is 211614131862.

268131416112 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 31 + 4 + 1 + 611 + 2 = 666.

268131416112 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 14529163 + ... + 14547605.

Almost surely, 2^268131416112 is an apocalyptic number.

It is an amenable number.

268131416112 is an abundant number, since it is smaller than the sum of its proper divisors (589569473232).

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

268131416112 is a wasteful number, since it uses less digits than its factorization.

268131416112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32887 (or 32878 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

Adding to 268131416112 its reverse (211614131862), we get a palindrome (479745547974).

The spelling of 268131416112 in words is "two hundred sixty-eight billion, one hundred thirty-one million, four hundred sixteen thousand, one hundred twelve".