109585568918848 has 224 divisors, whose sum is σ = 241697091944448. Its totient is φ = 48882316492800.

The previous prime is 109585568918843. The next prime is 109585568918867. The reversal of 109585568918848 is 848819865585901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109585568918843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28367994165 + ... + 28367998027.

It is an arithmetic number, because the mean of its divisors is an integer number (1079004874752).

Almost surely, 2^{109585568918848} 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 109585568918848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120848545972224).

109585568918848 is an abundant number, since it is smaller than the sum of its proper divisors (132111523025600).

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

109585568918848 is a wasteful number, since it uses less digits than its factorization.

109585568918848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 7962624000, while the sum is 85.

The spelling of 109585568918848 in words is "one hundred nine trillion, five hundred eighty-five billion, five hundred sixty-eight million, nine hundred eighteen thousand, eight hundred forty-eight".