968198010912 has 288 divisors, whose sum is σ = 3238822117440. Its totient is φ = 271171584000.

The previous prime is 968198010911. The next prime is 968198010917. The reversal of 968198010912 is 219010891869.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (968198010911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271712 + ... + 2664032.

It is an arithmetic number, because the mean of its divisors is an integer number (11245910130).

Almost surely, 2^968198010912 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 968198010912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619411058720).

968198010912 is an abundant number, since it is smaller than the sum of its proper divisors (2270624106528).

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

968198010912 is a wasteful number, since it uses less digits than its factorization.

968198010912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392408 (or 392397 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 968198010912 in words is "nine hundred sixty-eight billion, one hundred ninety-eight million, ten thousand, nine hundred twelve".