968302857168 has 160 divisors (see below), whose sum is σ = 2962707200000. Its totient is φ = 301909016448.

The previous prime is 968302857161. The next prime is 968302857199. The reversal of 968302857168 is 861758203869.

968302857168 is a `hidden beast` number, since 9 + 6 + 8 + 30 + 28 + 571 + 6 + 8 = 666.

It is a super-2 number, since 2×968302857168² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968302857161) 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 31 ways as a sum of consecutive naturals, for example, 98218 + ... + 1395081.

It is an arithmetic number, because the mean of its divisors is an integer number (18516920000).

Almost surely, 2^968302857168 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 968302857168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481353600000).

968302857168 is an abundant number, since it is smaller than the sum of its proper divisors (1994404342832).

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

968302857168 is a wasteful number, since it uses less digits than its factorization.

968302857168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493414 (or 1493402 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 968302857168 in words is "nine hundred sixty-eight billion, three hundred two million, eight hundred fifty-seven thousand, one hundred sixty-eight".