110128794048 has 448 divisors, whose sum is σ = 404457733120. Its totient is φ = 28608712704.

The previous prime is 110128793989. The next prime is 110128794053. The reversal of 110128794048 is 840497821011.

110128794048 is a `hidden beast` number, since 110 + 128 + 7 + 9 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 110128793994 and 110128794012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10530390 + ... + 10540842.

It is an arithmetic number, because the mean of its divisors is an integer number (902807440).

Almost surely, 2^110128794048 is an apocalyptic number.

110128794048 is a gapful number since it is divisible by the number (18) 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 110128794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202228866560).

110128794048 is an abundant number, since it is smaller than the sum of its proper divisors (294328939072).

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

110128794048 is a wasteful number, since it uses less digits than its factorization.

110128794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10561 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 110128794048 in words is "one hundred ten billion, one hundred twenty-eight million, seven hundred ninety-four thousand, forty-eight".