268022662128 has 240 divisors, whose sum is σ = 835036554240. Its totient is φ = 82272423168.

The previous prime is 268022662111. The next prime is 268022662163. The reversal of 268022662128 is 821266220862.

268022662128 is a `hidden beast` number, since 268 + 0 + 2 + 266 + 2 + 128 = 666.

It is a super-2 number, since 2×268022662128² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 32338401 + ... + 32346687.

It is an arithmetic number, because the mean of its divisors is an integer number (3479318976).

Almost surely, 2^268022662128 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 268022662128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417518277120).

268022662128 is an abundant number, since it is smaller than the sum of its proper divisors (567013892112).

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

268022662128 is a wasteful number, since it uses less digits than its factorization.

268022662128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 268022662128 in words is "two hundred sixty-eight billion, twenty-two million, six hundred sixty-two thousand, one hundred twenty-eight".