110113068384000 has 2304 divisors, whose sum is σ = 462460346449920. Its totient is φ = 25560023040000.

The previous prime is 110113068383977. The next prime is 110113068384047. The reversal of 110113068384000 is 483860311011.

110113068384000 is a `hidden beast` number, since 110 + 1 + 130 + 6 + 8 + 3 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28578526074 + ... + 28578529926.

It is an arithmetic number, because the mean of its divisors is an integer number (200720636480).

Almost surely, 2^{110113068384000} is an apocalyptic number.

110113068384000 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 110113068384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231230173224960).

110113068384000 is an abundant number, since it is smaller than the sum of its proper divisors (352347278065920).

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

110113068384000 is a wasteful number, since it uses less digits than its factorization.

110113068384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 110113068384000 in words is "one hundred ten trillion, one hundred thirteen billion, sixty-eight million, three hundred eighty-four thousand".