268611268608 has 208 divisors, whose sum is σ = 801178092000. Its totient is φ = 88930713600.

The previous prime is 268611268577. The next prime is 268611268609. The reversal of 268611268608 is 806862116862.

268611268608 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 1 + 1 + 26 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (268611268609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16470058 + ... + 16486358.

It is an arithmetic number, because the mean of its divisors is an integer number (3851817750).

Almost surely, 2^268611268608 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 268611268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400589046000).

268611268608 is an abundant number, since it is smaller than the sum of its proper divisors (532566823392).

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

268611268608 is a wasteful number, since it uses less digits than its factorization.

268611268608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16483 (or 16455 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 268611268608 in words is "two hundred sixty-eight billion, six hundred eleven million, two hundred sixty-eight thousand, six hundred eight".