268344244407168 has 256 divisors, whose sum is σ = 807543627739200. Its totient is φ = 87700606156800.

The previous prime is 268344244407121. The next prime is 268344244407221. The reversal of 268344244407168 is 861704442443862.

268344244407168 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 4 + 4 + 24 + 440 + 7 + 168 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63952048 + ... + 68018768.

Almost surely, 2^{268344244407168} 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 268344244407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403771813869600).

268344244407168 is an abundant number, since it is smaller than the sum of its proper divisors (539199383332032).

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

268344244407168 is a wasteful number, since it uses less digits than its factorization.

268344244407168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067118 (or 4067100 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 63.

The spelling of 268344244407168 in words is "two hundred sixty-eight trillion, three hundred forty-four billion, two hundred forty-four million, four hundred seven thousand, one hundred sixty-eight".