968845305792 has 896 divisors, whose sum is σ = 3327285362688. Its totient is φ = 242063769600.

The previous prime is 968845305773. The next prime is 968845305821. The reversal of 968845305792 is 297503548869.

It is a super-2 number, since 2×968845305792² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5072488417 + ... + 5072488607.

It is an arithmetic number, because the mean of its divisors is an integer number (3713488128).

Almost surely, 2^968845305792 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 968845305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663642681344).

968845305792 is an abundant number, since it is smaller than the sum of its proper divisors (2358440056896).

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

968845305792 is a wasteful number, since it uses less digits than its factorization.

968845305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 968845305792 in words is "nine hundred sixty-eight billion, eight hundred forty-five million, three hundred five thousand, seven hundred ninety-two".