112449406944 has 288 divisors, whose sum is σ = 359474153472. Its totient is φ = 30651264000.

The previous prime is 112449406877. The next prime is 112449406963. The reversal of 112449406944 is 449604944211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 112449406893 and 112449406902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10348074 + ... + 10358934.

It is an arithmetic number, because the mean of its divisors is an integer number (1248174144).

Almost surely, 2^112449406944 is an apocalyptic number.

112449406944 is a gapful number since it is divisible by the number (14) 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 112449406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179737076736).

112449406944 is an abundant number, since it is smaller than the sum of its proper divisors (247024746528).

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

112449406944 is a wasteful number, since it uses less digits than its factorization.

112449406944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 112449406944 in words is "one hundred twelve billion, four hundred forty-nine million, four hundred six thousand, nine hundred forty-four".