112533120832 has 336 divisors, whose sum is σ = 268526361600. Its totient is φ = 46612684800.

The previous prime is 112533120823. The next prime is 112533120851. The reversal of 112533120832 is 238021335211.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 112533120794 and 112533120803.

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 47 ways as a sum of consecutive naturals, for example, 491410894 + ... + 491411122.

It is an arithmetic number, because the mean of its divisors is an integer number (799185600).

Almost surely, 2^112533120832 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 112533120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134263180800).

112533120832 is an abundant number, since it is smaller than the sum of its proper divisors (155993240768).

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

112533120832 is a wasteful number, since it uses less digits than its factorization.

112533120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 112533120832 in words is "one hundred twelve billion, five hundred thirty-three million, one hundred twenty thousand, eight hundred thirty-two".