110406417856 has 112 divisors (see below), whose sum is σ = 265272926400. Its totient is φ = 44507086848.

The previous prime is 110406417841. The next prime is 110406417857. The reversal of 110406417856 is 658714604011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110406417857) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17277510 + ... + 17283898.

Almost surely, 2^110406417856 is an apocalyptic number.

110406417856 is a gapful number since it is divisible by the number (16) 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 110406417856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132636463200).

110406417856 is an abundant number, since it is smaller than the sum of its proper divisors (154866508544).

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

110406417856 is a wasteful number, since it uses less digits than its factorization.

110406417856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 110406417856 in words is "one hundred ten billion, four hundred six million, four hundred seventeen thousand, eight hundred fifty-six".