111825001152 has 168 divisors, whose sum is σ = 322923871296. Its totient is φ = 36997300224.

The previous prime is 111825001139. The next prime is 111825001157. The reversal of 111825001152 is 251100528111.

111825001152 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 2 + 500 + 1 + 152 = 666.

111825001152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (111825001157) 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, 46924953 + ... + 46927335.

Almost surely, 2^111825001152 is an apocalyptic number.

111825001152 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 111825001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161461935648).

111825001152 is an abundant number, since it is smaller than the sum of its proper divisors (211098870144).

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

111825001152 is a wasteful number, since it uses less digits than its factorization.

111825001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

Adding to 111825001152 its reverse (251100528111), we get a palindrome (362925529263).

The spelling of 111825001152 in words is "one hundred eleven billion, eight hundred twenty-five million, one thousand, one hundred fifty-two".