112025434041416 has 192 divisors, whose sum is σ = 258203331547200. Its totient is φ = 45306896140800.

The previous prime is 112025434041407. The next prime is 112025434041457. The reversal of 112025434041416 is 614140434520211.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 112025434041416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11101514531 + ... + 11101524621.

It is an arithmetic number, because the mean of its divisors is an integer number (1344809018475).

Almost surely, 2^{112025434041416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112025434041416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129101665773600).

112025434041416 is an abundant number, since it is smaller than the sum of its proper divisors (146177897505784).

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

112025434041416 is a wasteful number, since it uses less digits than its factorization.

112025434041416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15788 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

Adding to 112025434041416 its reverse (614140434520211), we get a palindrome (726165868561627).

The spelling of 112025434041416 in words is "one hundred twelve trillion, twenty-five billion, four hundred thirty-four million, forty-one thousand, four hundred sixteen".