111104332240032 has 288 divisors, whose sum is σ = 342727245753984. Its totient is φ = 34003195084800.

The previous prime is 111104332240009. The next prime is 111104332240081. The reversal of 111104332240032 is 230042233401111.

111104332240032 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 433 + 224 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×111104332240032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111104332239978 and 111104332240005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4169474133 + ... + 4169500779.

It is an arithmetic number, because the mean of its divisors is an integer number (1190025158868).

Almost surely, 2^{111104332240032} is an apocalyptic number.

111104332240032 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 111104332240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171363622876992).

111104332240032 is an abundant number, since it is smaller than the sum of its proper divisors (231622913513952).

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

111104332240032 is a wasteful number, since it uses less digits than its factorization.

111104332240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47492 (or 47481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 111104332240032 its reverse (230042233401111), we get a palindrome (341146565641143).

The spelling of 111104332240032 in words is "one hundred eleven trillion, one hundred four billion, three hundred thirty-two million, two hundred forty thousand, thirty-two".