111811440109824 has 3024 divisors, whose sum is σ = 453085010187264. Its totient is φ = 26858806640640.

The previous prime is 111811440109819. The next prime is 111811440109907. The reversal of 111811440109824 is 428901044118111.

111811440109824 is a `hidden beast` number, since 1 + 1 + 1 + 81 + 1 + 440 + 109 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a self number, because there is not a number n which added to its sum of digits gives 111811440109824.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3606820648689 + ... + 3606820648719.

It is an arithmetic number, because the mean of its divisors is an integer number (149829699136).

Almost surely, 2^{111811440109824} is an apocalyptic number.

111811440109824 is a gapful number since it is divisible by the number (14) 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 111811440109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226542505093632).

111811440109824 is an abundant number, since it is smaller than the sum of its proper divisors (341273570077440).

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

111811440109824 is an frugal number, since it uses more digits than its factorization.

111811440109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 111811440109824 in words is "one hundred eleven trillion, eight hundred eleven billion, four hundred forty million, one hundred nine thousand, eight hundred twenty-four".