110116853440 has 336 divisors, whose sum is σ = 306557866944. Its totient is φ = 37562736640.

The previous prime is 110116853437. The next prime is 110116853449. The reversal of 110116853440 is 44358611011.

It is a junction number, because it is equal to n+sod(n) for n = 110116853396 and 110116853405.

It is not an unprimeable number, because it can be changed into a prime (110116853449) 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 47 ways as a sum of consecutive naturals, for example, 47198514 + ... + 47200846.

It is an arithmetic number, because the mean of its divisors is an integer number (912374604).

Almost surely, 2^110116853440 is an apocalyptic number.

110116853440 is a gapful number since it is divisible by the number (10) 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 110116853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153278933472).

110116853440 is an abundant number, since it is smaller than the sum of its proper divisors (196441013504).

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

110116853440 is a wasteful number, since it uses less digits than its factorization.

110116853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 110116853440 in words is "one hundred ten billion, one hundred sixteen million, eight hundred fifty-three thousand, four hundred forty".