111825816192 has 192 divisors, whose sum is σ = 334212147360. Its totient is φ = 37219046400.

The previous prime is 111825816191. The next prime is 111825816227. The reversal of 111825816192 is 291618528111.

111825816192 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 2 + 581 + 61 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (111825816191) 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 23 ways as a sum of consecutive naturals, for example, 24041067 + ... + 24045717.

Almost surely, 2^111825816192 is an apocalyptic number.

111825816192 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 111825816192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167106073680).

111825816192 is an abundant number, since it is smaller than the sum of its proper divisors (222386331168).

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

111825816192 is an frugal number, since it uses more digits than its factorization.

111825816192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5429 counting only the distinct ones).

The product of its digits is 69120, while the sum is 45.

The spelling of 111825816192 in words is "one hundred eleven billion, eight hundred twenty-five million, eight hundred sixteen thousand, one hundred ninety-two".