968168963328 has 216 divisors, whose sum is σ = 3021050575872. Its totient is φ = 274440241152.

The previous prime is 968168963309. The next prime is 968168963387. The reversal of 968168963328 is 823369861869.

It is a super-2 number, since 2×968168963328² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4677976 + ... + 4880552.

Almost surely, 2^968168963328 is an apocalyptic number.

968168963328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968168963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510525287936).

968168963328 is an abundant number, since it is smaller than the sum of its proper divisors (2052881612544).

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

968168963328 is a wasteful number, since it uses less digits than its factorization.

968168963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202737 (or 202716 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 69.

The spelling of 968168963328 in words is "nine hundred sixty-eight billion, one hundred sixty-eight million, nine hundred sixty-three thousand, three hundred twenty-eight".