268101743616 has 704 divisors, whose sum is σ = 933825024000. Its totient is φ = 74410721280.

The previous prime is 268101743579. The next prime is 268101743639. The reversal of 268101743616 is 616347101862.

268101743616 is a `hidden beast` number, since 2 + 6 + 8 + 10 + 17 + 4 + 3 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1497775015 + ... + 1497775193.

It is an arithmetic number, because the mean of its divisors is an integer number (1326456000).

Almost surely, 2^268101743616 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 268101743616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466912512000).

268101743616 is an abundant number, since it is smaller than the sum of its proper divisors (665723280384).

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

268101743616 is a wasteful number, since it uses less digits than its factorization.

268101743616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 268101743616 in words is "two hundred sixty-eight billion, one hundred one million, seven hundred forty-three thousand, six hundred sixteen".