968989317912 has 512 divisors, whose sum is σ = 3551131238400. Its totient is φ = 237345292800.

The previous prime is 968989317847. The next prime is 968989317917. The reversal of 968989317912 is 219713989869.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968989317917) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27142218 + ... + 27177894.

It is an arithmetic number, because the mean of its divisors is an integer number (6935803200).

Almost surely, 2^968989317912 is an apocalyptic number.

968989317912 is a gapful number since it is divisible by the number (92) 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 968989317912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775565619200).

968989317912 is an abundant number, since it is smaller than the sum of its proper divisors (2582141920488).

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

968989317912 is a wasteful number, since it uses less digits than its factorization.

968989317912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35804 (or 35794 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 72.

The spelling of 968989317912 in words is "nine hundred sixty-eight billion, nine hundred eighty-nine million, three hundred seventeen thousand, nine hundred twelve".