112268841408 has 84 divisors (see below), whose sum is σ = 322153105248. Its totient is φ = 37381693440.

The previous prime is 112268841403. The next prime is 112268841413. The reversal of 112268841408 is 804148862211.

112268841408 is a `hidden beast` number, since 1 + 1 + 226 + 8 + 8 + 414 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (112268841403) and next prime (112268841413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112268841403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 417760 + ... + 631712.

Almost surely, 2^112268841408 is an apocalyptic number.

112268841408 is a gapful number since it is divisible by the number (18) 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 112268841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161076552624).

112268841408 is an abundant number, since it is smaller than the sum of its proper divisors (209884263840).

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

112268841408 is a wasteful number, since it uses less digits than its factorization.

112268841408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214882 (or 214869 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 112268841408 in words is "one hundred twelve billion, two hundred sixty-eight million, eight hundred forty-one thousand, four hundred eight".