112448000000 has 364 divisors, whose sum is σ = 322516496736. Its totient is φ = 38400000000.

The previous prime is 112447999999. The next prime is 112448000003. The reversal of 112448000000 is 844211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112448000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 447999875 + ... + 448000125.

Almost surely, 2^112448000000 is an apocalyptic number.

112448000000 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 112448000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161258248368).

112448000000 is an abundant number, since it is smaller than the sum of its proper divisors (210068496736).

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

112448000000 is an frugal number, since it uses more digits than its factorization.

112448000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112448000000 its reverse (844211), we get a palindrome (112448844211).

It can be divided in two parts, 112 and 448000000, that multiplied together give a square (50176000000 = 224000²).

The spelling of 112448000000 in words is "one hundred twelve billion, four hundred forty-eight million", and thus it is an aban number.