110481785856 has 528 divisors, whose sum is σ = 358796325888. Its totient is φ = 32514048000.

The previous prime is 110481785831. The next prime is 110481785863. The reversal of 110481785856 is 658587184011.

110481785856 is a `hidden beast` number, since 1 + 1 + 0 + 48 + 17 + 8 + 585 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560821150 + ... + 560821346.

It is an arithmetic number, because the mean of its divisors is an integer number (679538496).

Almost surely, 2^110481785856 is an apocalyptic number.

110481785856 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 110481785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179398162944).

110481785856 is an abundant number, since it is smaller than the sum of its proper divisors (248314540032).

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

110481785856 is a wasteful number, since it uses less digits than its factorization.

110481785856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 110481785856 in words is "one hundred ten billion, four hundred eighty-one million, seven hundred eighty-five thousand, eight hundred fifty-six".