268917016986 has 128 divisors (see below), whose sum is σ = 635726880000. Its totient is φ = 83969851392.

The previous prime is 268917016961. The next prime is 268917016987. The reversal of 268917016986 is 689610719862.

268917016986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268917016986² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268917016987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324386820 + ... + 324387648.

It is an arithmetic number, because the mean of its divisors is an integer number (4966616250).

Almost surely, 2^268917016986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268917016986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317863440000).

268917016986 is an abundant number, since it is smaller than the sum of its proper divisors (366809863014).

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

268917016986 is a wasteful number, since it uses less digits than its factorization.

268917016986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 268917016986 in words is "two hundred sixty-eight billion, nine hundred seventeen million, sixteen thousand, nine hundred eighty-six".