110166884352 has 720 divisors, whose sum is σ = 389303416320. Its totient is φ = 30480924672.

The previous prime is 110166884309. The next prime is 110166884363. The reversal of 110166884352 is 253488661011.

It is a junction number, because it is equal to n+sod(n) for n = 110166884298 and 110166884307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644281823 + ... + 1644281889.

Almost surely, 2^110166884352 is an apocalyptic number.

110166884352 is a gapful number since it is divisible by the number (12) 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 110166884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194651708160).

110166884352 is an abundant number, since it is smaller than the sum of its proper divisors (279136531968).

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

110166884352 is an frugal number, since it uses more digits than its factorization.

110166884352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 110166884352 in words is "one hundred ten billion, one hundred sixty-six million, eight hundred eighty-four thousand, three hundred fifty-two".