9688039644456 has 128 divisors (see below), whose sum is σ = 28718599680000. Its totient is φ = 3015452676096.

The previous prime is 9688039644449. The next prime is 9688039644461. The reversal of 9688039644456 is 6544469308869.

9688039644456 is a `hidden beast` number, since 9 + 6 + 8 + 80 + 3 + 96 + 4 + 4 + 456 = 666.

It is a super-3 number, since 3×9688039644456³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9920881 + ... + 10853568.

It is an arithmetic number, because the mean of its divisors is an integer number (224364060000).

Almost surely, 2^{9688039644456} is an apocalyptic number.

It is an amenable number.

9688039644456 is an abundant number, since it is smaller than the sum of its proper divisors (19030560035544).

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

9688039644456 is a wasteful number, since it uses less digits than its factorization.

9688039644456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20774608 (or 20774598 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 9688039644456 in words is "nine trillion, six hundred eighty-eight billion, thirty-nine million, six hundred forty-four thousand, four hundred fifty-six".