111413313144 has 96 divisors (see below), whose sum is σ = 344998573920. Its totient is φ = 31818728448.

The previous prime is 111413313091. The next prime is 111413313149. The reversal of 111413313144 is 441313314111.

111413313144 is a `hidden beast` number, since 1 + 1 + 14 + 1 + 331 + 314 + 4 = 666.

It is a super-3 number, since 3×111413313144³ (a number of 34 digits) contains 333 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111413313149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159884 + ... + 1252260.

It is an arithmetic number, because the mean of its divisors is an integer number (3593735145).

Almost surely, 2^111413313144 is an apocalyptic number.

111413313144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

111413313144 is an abundant number, since it is smaller than the sum of its proper divisors (233585260776).

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

111413313144 is a wasteful number, since it uses less digits than its factorization.

111413313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94789 (or 94782 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 111413313144 its reverse (441313314111), we get a palindrome (552726627255).

The spelling of 111413313144 in words is "one hundred eleven billion, four hundred thirteen million, three hundred thirteen thousand, one hundred forty-four".