111444665040 has 120 divisors (see below), whose sum is σ = 374338172520. Its totient is φ = 29713032192.

The previous prime is 111444665023. The next prime is 111444665051. The reversal of 111444665040 is 40566444111.

111444665040 is a `hidden beast` number, since 1 + 1 + 144 + 4 + 6 + 6 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 739404864 + 110705260176 = 27192^2 + 332724^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111444664986 and 111444665004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5107594 + ... + 5129366.

It is an arithmetic number, because the mean of its divisors is an integer number (3119484771).

Almost surely, 2^111444665040 is an apocalyptic number.

111444665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111444665040 is an abundant number, since it is smaller than the sum of its proper divisors (262893507480).

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

111444665040 is a wasteful number, since it uses less digits than its factorization.

111444665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28901 (or 28892 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 111444665040 in words is "one hundred eleven billion, four hundred forty-four million, six hundred sixty-five thousand, forty".