112533532344000 has 336 divisors, whose sum is σ = 402618627141120. Its totient is φ = 30003915571200.

The previous prime is 112533532343971. The next prime is 112533532344001. The reversal of 112533532344000 is 443235335211.

112533532344000 is a `hidden beast` number, since 1 + 1 + 2 + 53 + 3 + 532 + 34 + 40 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112533532344001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440008161 + ... + 440263839.

Almost surely, 2^{112533532344000} is an apocalyptic number.

112533532344000 is a gapful number since it is divisible by the number (10) 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 112533532344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201309313570560).

112533532344000 is an abundant number, since it is smaller than the sum of its proper divisors (290085094797120).

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

112533532344000 is a wasteful number, since it uses less digits than its factorization.

112533532344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261825 (or 261802 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 112533532344000 its reverse (443235335211), we get a palindrome (112976767679211).

The spelling of 112533532344000 in words is "one hundred twelve trillion, five hundred thirty-three billion, five hundred thirty-two million, three hundred forty-four thousand".