109968213885504 has 448 divisors, whose sum is σ = 331196973327360. Its totient is φ = 31922868510720.

The previous prime is 109968213885461. The next prime is 109968213885547. The reversal of 109968213885504 is 405588312869901.

109968213885504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (109968213885461) and next prime (109968213885547).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31500489199 + ... + 31500492689.

It is an arithmetic number, because the mean of its divisors is an integer number (739278958320).

Almost surely, 2^{109968213885504} 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 109968213885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165598486663680).

109968213885504 is an abundant number, since it is smaller than the sum of its proper divisors (221228759441856).

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

109968213885504 is a wasteful number, since it uses less digits than its factorization.

109968213885504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 69.

The spelling of 109968213885504 in words is "one hundred nine trillion, nine hundred sixty-eight billion, two hundred thirteen million, eight hundred eighty-five thousand, five hundred four".