268082356240116 has 144 divisors (see below), whose sum is σ = 743355166514688. Its totient is φ = 80787585211200.

The previous prime is 268082356240103. The next prime is 268082356240121. The reversal of 268082356240116 is 611042653280862.

268082356240116 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 8 + 2 + 3 + 5 + 624 + 0 + 1 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77685921 + ... + 81063351.

It is an arithmetic number, because the mean of its divisors is an integer number (5162188656352).

Almost surely, 2^{268082356240116} 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 268082356240116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371677583257344).

268082356240116 is an abundant number, since it is smaller than the sum of its proper divisors (475272810274572).

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

268082356240116 is a wasteful number, since it uses less digits than its factorization.

268082356240116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378562 (or 3378557 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 268082356240116 in words is "two hundred sixty-eight trillion, eighty-two billion, three hundred fifty-six million, two hundred forty thousand, one hundred sixteen".