108871774185504 has 768 divisors, whose sum is σ = 341373825644544. Its totient is φ = 30003565363200.

The previous prime is 108871774185469. The next prime is 108871774185527. The reversal of 108871774185504 is 405581477178801.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 127 ways as a sum of consecutive naturals, for example, 67496449402 + ... + 67496451014.

It is an arithmetic number, because the mean of its divisors is an integer number (444497168808).

Almost surely, 2^{108871774185504} 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 108871774185504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170686912822272).

108871774185504 is an abundant number, since it is smaller than the sum of its proper divisors (232502051459040).

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

108871774185504 is a wasteful number, since it uses less digits than its factorization.

108871774185504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 66.

The spelling of 108871774185504 in words is "one hundred eight trillion, eight hundred seventy-one billion, seven hundred seventy-four million, one hundred eighty-five thousand, five hundred four".