111344414312144 has 80 divisors (see below), whose sum is σ = 235908202158720. Its totient is φ = 50597756352000.

The previous prime is 111344414312107. The next prime is 111344414312177. The reversal of 111344414312144 is 441213414443111.

It is a junction number, because it is equal to n+sod(n) for n = 111344414312098 and 111344414312107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26307269 + ... + 30245019.

It is an arithmetic number, because the mean of its divisors is an integer number (2948852526984).

Almost surely, 2^{111344414312144} 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 111344414312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117954101079360).

111344414312144 is an abundant number, since it is smaller than the sum of its proper divisors (124563787846576).

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

111344414312144 is a wasteful number, since it uses less digits than its factorization.

111344414312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939868 (or 3939862 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

Adding to 111344414312144 its reverse (441213414443111), we get a palindrome (552557828755255).

The spelling of 111344414312144 in words is "one hundred eleven trillion, three hundred forty-four billion, four hundred fourteen million, three hundred twelve thousand, one hundred forty-four".