110444403344 has 120 divisors (see below), whose sum is σ = 238289774520. Its totient is φ = 49547520000.

The previous prime is 110444403323. The next prime is 110444403361. The reversal of 110444403344 is 443304444011.

It can be written as a sum of positive squares in 4 ways, for example, as 68493170944 + 41951232400 = 261712^2 + 204820^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 110444403344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79973534 + ... + 79974914.

It is an arithmetic number, because the mean of its divisors is an integer number (1985748121).

Almost surely, 2^110444403344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110444403344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119144887260).

110444403344 is an abundant number, since it is smaller than the sum of its proper divisors (127845371176).

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

110444403344 is a wasteful number, since it uses less digits than its factorization.

110444403344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 110444403344 its reverse (443304444011), we get a palindrome (553748847355).

The spelling of 110444403344 in words is "one hundred ten billion, four hundred forty-four million, four hundred three thousand, three hundred forty-four".