111414441312 has 144 divisors (see below), whose sum is σ = 331679432448. Its totient is φ = 35408567040.

The previous prime is 111414441301. The next prime is 111414441349. The reversal of 111414441312 is 213144414111.

111414441312 is a `hidden beast` number, since 111 + 414 + 4 + 4 + 131 + 2 = 666.

111414441312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2033023 + ... + 2087105.

It is an arithmetic number, because the mean of its divisors is an integer number (2303329392).

Almost surely, 2^111414441312 is an apocalyptic number.

111414441312 is a gapful number since it is divisible by the number (12) 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 111414441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165839716224).

111414441312 is an abundant number, since it is smaller than the sum of its proper divisors (220264991136).

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

111414441312 is a wasteful number, since it uses less digits than its factorization.

111414441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54433 (or 54422 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 111414441312 its reverse (213144414111), we get a palindrome (324558855423).

The spelling of 111414441312 in words is "one hundred eleven billion, four hundred fourteen million, four hundred forty-one thousand, three hundred twelve".