109312826688 has 168 divisors, whose sum is σ = 338220320256. Its totient is φ = 33555686400.

The previous prime is 109312826687. The next prime is 109312826699. The reversal of 109312826688 is 886628213901.

It is a super-3 number, since 3×109312826688³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109312826683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3210393 + ... + 3244263.

It is an arithmetic number, because the mean of its divisors is an integer number (2013216192).

Almost surely, 2^109312826688 is an apocalyptic number.

109312826688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109312826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169110160128).

109312826688 is an abundant number, since it is smaller than the sum of its proper divisors (228907493568).

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

109312826688 is a wasteful number, since it uses less digits than its factorization.

109312826688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34333 (or 34320 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 109312826688 in words is "one hundred nine billion, three hundred twelve million, eight hundred twenty-six thousand, six hundred eighty-eight".