112748283648 has 1728 divisors, whose sum is σ = 479979601920. Its totient is φ = 24485068800.

The previous prime is 112748283581. The next prime is 112748283653. The reversal of 112748283648 is 846382847211.

112748283648 is a `hidden beast` number, since 1 + 1 + 27 + 482 + 83 + 64 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112748283594 and 112748283603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1358413015 + ... + 1358413097.

Almost surely, 2^112748283648 is an apocalyptic number.

112748283648 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 112748283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239989800960).

112748283648 is an abundant number, since it is smaller than the sum of its proper divisors (367231318272).

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

112748283648 is a wasteful number, since it uses less digits than its factorization.

112748283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 112748283648 in words is "one hundred twelve billion, seven hundred forty-eight million, two hundred eighty-three thousand, six hundred forty-eight".