9946543968 has 144 divisors (see below), whose sum is σ = 29008835856. Its totient is φ = 3231083520.

The previous prime is 9946543963. The next prime is 9946543979. The reversal of 9946543968 is 8693456499.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9946543961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9374158 + ... + 9375218.

It is an arithmetic number, because the mean of its divisors is an integer number (201450249).

Almost surely, 2^9946543968 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 9946543968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504417928).

9946543968 is an abundant number, since it is smaller than the sum of its proper divisors (19062291888).

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

9946543968 is a wasteful number, since it uses less digits than its factorization.

9946543968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1866 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The square root of 9946543968 is about 99732.3616886715. The cubic root of 9946543968 is about 2150.5889115433.

The spelling of 9946543968 in words is "nine billion, nine hundred forty-six million, five hundred forty-three thousand, nine hundred sixty-eight".