111101010444 has 144 divisors (see below), whose sum is σ = 294170123520. Its totient is φ = 35321408640.

The previous prime is 111101010413. The next prime is 111101010467. The reversal of 111101010444 is 444010101111.

111101010444 is a `hidden beast` number, since 11 + 110 + 101 + 0 + 444 = 666.

111101010444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16925107 + ... + 16931669.

It is an arithmetic number, because the mean of its divisors is an integer number (2042848080).

Almost surely, 2^111101010444 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 111101010444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147085061760).

111101010444 is an abundant number, since it is smaller than the sum of its proper divisors (183069113076).

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

111101010444 is a wasteful number, since it uses less digits than its factorization.

111101010444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6855 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111101010444 its reverse (444010101111), we get a palindrome (555111111555).

The spelling of 111101010444 in words is "one hundred eleven billion, one hundred one million, ten thousand, four hundred forty-four".