112414034411024 has 480 divisors, whose sum is σ = 254640201984000. Its totient is φ = 47895378665472.

The previous prime is 112414034411011. The next prime is 112414034411027. The reversal of 112414034411024 is 420114430414211.

It is not an unprimeable number, because it can be changed into a prime (112414034411027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38249074547 + ... + 38249077485.

It is an arithmetic number, because the mean of its divisors is an integer number (530500420800).

Almost surely, 2^{112414034411024} 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 112414034411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127320100992000).

112414034411024 is an abundant number, since it is smaller than the sum of its proper divisors (142226167572976).

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

112414034411024 is a wasteful number, since it uses less digits than its factorization.

112414034411024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 112414034411024 its reverse (420114430414211), we get a palindrome (532528464825235).

The spelling of 112414034411024 in words is "one hundred twelve trillion, four hundred fourteen billion, thirty-four million, four hundred eleven thousand, twenty-four".