109005691196688 has 1280 divisors, whose sum is σ = 352633430016000. Its totient is φ = 28565581824000.

The previous prime is 109005691196671. The next prime is 109005691196723. The reversal of 109005691196688 is 886691196500901.

109005691196688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 303637022653 + ... + 303637023011.

It is an arithmetic number, because the mean of its divisors is an integer number (275494867200).

Almost surely, 2^{109005691196688} 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 109005691196688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176316715008000).

109005691196688 is an abundant number, since it is smaller than the sum of its proper divisors (243627738819312).

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

109005691196688 is a wasteful number, since it uses less digits than its factorization.

109005691196688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 69.

The spelling of 109005691196688 in words is "one hundred nine trillion, five billion, six hundred ninety-one million, one hundred ninety-six thousand, six hundred eighty-eight".