112855248 has 240 divisors, whose sum is σ = 379975680. Its totient is φ = 31933440.

The previous prime is 112855243. The next prime is 112855271. The reversal of 112855248 is 842558211.

112855248 is a `hidden beast` number, since 1 + 128 + 5 + 524 + 8 = 666.

It is a super-2 number, since 2×112855248² = 25472614002283008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25600) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112855243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 888561 + ... + 888687.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^112855248 is an apocalyptic number.

112855248 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 112855248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

112855248 is an abundant number, since it is smaller than the sum of its proper divisors (267120432).

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

112855248 is a wasteful number, since it uses less digits than its factorization.

112855248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 112855248 is about 10623.3350695533. The cubic root of 112855248 is about 483.2522890141.

The spelling of 112855248 in words is "one hundred twelve million, eight hundred fifty-five thousand, two hundred forty-eight".