111334688900 has 18 divisors (see below), whose sum is σ = 241596275130. Its totient is φ = 44533875520.

The previous prime is 111334688893. The next prime is 111334688909. The reversal of 111334688900 is 9886433111.

111334688900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 22978315396 + 88356373504 = 151586^2 + 297248^2 .

It is not an unprimeable number, because it can be changed into a prime (111334688909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556673345 + ... + 556673544.

It is an arithmetic number, because the mean of its divisors is an integer number (13422015285).

Almost surely, 2^111334688900 is an apocalyptic number.

111334688900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111334688900 is an abundant number, since it is smaller than the sum of its proper divisors (130261586230).

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

111334688900 is a wasteful number, since it uses less digits than its factorization.

111334688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113346903 (or 1113346896 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 111334688900 in words is "one hundred eleven billion, three hundred thirty-four million, six hundred eighty-eight thousand, nine hundred".