112432162752 has 560 divisors, whose sum is σ = 420272943552. Its totient is φ = 28924231680.

The previous prime is 112432162657. The next prime is 112432162763. The reversal of 112432162752 is 257261234211.

112432162752 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 3 + 21 + 627 + 5 + 2 = 666.

112432162752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19338598 + ... + 19344410.

Almost surely, 2^112432162752 is an apocalyptic number.

112432162752 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 112432162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210136471776).

112432162752 is an abundant number, since it is smaller than the sum of its proper divisors (307840780800).

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

112432162752 is a wasteful number, since it uses less digits than its factorization.

112432162752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5879 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Adding to 112432162752 its reverse (257261234211), we get a palindrome (369693396963).

The spelling of 112432162752 in words is "one hundred twelve billion, four hundred thirty-two million, one hundred sixty-two thousand, seven hundred fifty-two".