268183848816 has 120 divisors (see below), whose sum is σ = 809021997056. Its totient is φ = 82441981440.

The previous prime is 268183848791. The next prime is 268183848833. The reversal of 268183848816 is 618848381862.

268183848816 is a `hidden beast` number, since 2 + 68 + 1 + 83 + 8 + 488 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980561 + ... + 2111631.

Almost surely, 2^268183848816 is an apocalyptic number.

268183848816 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 268183848816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404510998528).

268183848816 is an abundant number, since it is smaller than the sum of its proper divisors (540838148240).

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

268183848816 is a wasteful number, since it uses less digits than its factorization.

268183848816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132191 (or 132182 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The spelling of 268183848816 in words is "two hundred sixty-eight billion, one hundred eighty-three million, eight hundred forty-eight thousand, eight hundred sixteen".