268723166294016 has 624 divisors, whose sum is σ = 918001357977600. Its totient is φ = 74105745702912.

The previous prime is 268723166293999. The next prime is 268723166294041. The reversal of 268723166294016 is 610492661327862.

268723166294016 is a `hidden beast` number, since 2 + 68 + 7 + 2 + 3 + 166 + 2 + 9 + 401 + 6 = 666.

268723166294016 is digitally balanced in base 2, because in such base 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42258711445 + ... + 42258717803.

It is an arithmetic number, because the mean of its divisors is an integer number (1471156022400).

Almost surely, 2^{268723166294016} 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 268723166294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459000678988800).

268723166294016 is an abundant number, since it is smaller than the sum of its proper divisors (649278191683584).

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

268723166294016 is a wasteful number, since it uses less digits than its factorization.

268723166294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 268723166294016 in words is "two hundred sixty-eight trillion, seven hundred twenty-three billion, one hundred sixty-six million, two hundred ninety-four thousand, sixteen".