9689042368512 has 1152 divisors, whose sum is σ = 33409381824000. Its totient is φ = 2763136696320.

The previous prime is 9689042368507. The next prime is 9689042368667. The reversal of 9689042368512 is 2158632409869.

9689042368512 is a `hidden beast` number, since 9 + 6 + 8 + 90 + 4 + 23 + 6 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 9689042368512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11279443539 + ... + 11279444397.

It is an arithmetic number, because the mean of its divisors is an integer number (29001199500).

Almost surely, 2^{9689042368512} 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 9689042368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704690912000).

9689042368512 is an abundant number, since it is smaller than the sum of its proper divisors (23720339455488).

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

9689042368512 is a wasteful number, since it uses less digits than its factorization.

9689042368512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 9689042368512 in words is "nine trillion, six hundred eighty-nine billion, forty-two million, three hundred sixty-eight thousand, five hundred twelve".