111544777344 has 1536 divisors, whose sum is σ = 443419361280. Its totient is φ = 24086937600.

The previous prime is 111544777319. The next prime is 111544777363. The reversal of 111544777344 is 443777445111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 111544777293 and 111544777302.

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 191 ways as a sum of consecutive naturals, for example, 3014723694 + ... + 3014723730.

It is an arithmetic number, because the mean of its divisors is an integer number (288684480).

Almost surely, 2^111544777344 is an apocalyptic number.

111544777344 is a gapful number since it is divisible by the number (14) 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 111544777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221709680640).

111544777344 is an abundant number, since it is smaller than the sum of its proper divisors (331874583936).

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

111544777344 is a wasteful number, since it uses less digits than its factorization.

111544777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

It can be divided in two parts, 111544 and 777344, that added together give a palindrome (888888).

The spelling of 111544777344 in words is "one hundred eleven billion, five hundred forty-four million, seven hundred seventy-seven thousand, three hundred forty-four".