112448096640 has 1536 divisors, whose sum is σ = 486995328000. Its totient is φ = 24265359360.

The previous prime is 112448096633. The next prime is 112448096671. The reversal of 112448096640 is 46690844211.

112448096640 is a `hidden beast` number, since 1 + 1 + 24 + 480 + 96 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 1263461716 + ... + 1263461804.

It is an arithmetic number, because the mean of its divisors is an integer number (317054250).

Almost surely, 2^112448096640 is an apocalyptic number.

112448096640 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 112448096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243497664000).

112448096640 is an abundant number, since it is smaller than the sum of its proper divisors (374547231360).

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

112448096640 is a wasteful number, since it uses less digits than its factorization.

112448096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 112448096640 in words is "one hundred twelve billion, four hundred forty-eight million, ninety-six thousand, six hundred forty".