110784720816 has 640 divisors, whose sum is σ = 418601779200. Its totient is φ = 27198167040.

The previous prime is 110784720799. The next prime is 110784720817. The reversal of 110784720816 is 618027487011.

It is not an unprimeable number, because it can be changed into a prime (110784720817) 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 127 ways as a sum of consecutive naturals, for example, 68090595 + ... + 68092221.

It is an arithmetic number, because the mean of its divisors is an integer number (654065280).

Almost surely, 2^110784720816 is an apocalyptic number.

110784720816 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 110784720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209300889600).

110784720816 is an abundant number, since it is smaller than the sum of its proper divisors (307817058384).

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

110784720816 is a wasteful number, since it uses less digits than its factorization.

110784720816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 110784720816 in words is "one hundred ten billion, seven hundred eighty-four million, seven hundred twenty thousand, eight hundred sixteen".