268168906709184 has 896 divisors, whose sum is σ = 812376771268608. Its totient is φ = 77455027077120.

The previous prime is 268168906709087. The next prime is 268168906709191. The reversal of 268168906709184 is 481907609861862.

268168906709184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 414480535549 + ... + 414480536195.

It is an arithmetic number, because the mean of its divisors is an integer number (906670503648).

Almost surely, 2^{268168906709184} is an apocalyptic number.

268168906709184 is a gapful number since it is divisible by the number (24) 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 268168906709184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406188385634304).

268168906709184 is an abundant number, since it is smaller than the sum of its proper divisors (544207864559424).

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

268168906709184 is a wasteful number, since it uses less digits than its factorization.

268168906709184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 75.

The spelling of 268168906709184 in words is "two hundred sixty-eight trillion, one hundred sixty-eight billion, nine hundred six million, seven hundred nine thousand, one hundred eighty-four".