112641048 has 96 divisors (see below), whose sum is σ = 347911200. Its totient is φ = 32615424.

The previous prime is 112640993. The next prime is 112641049. The reversal of 112641048 is 840146211.

It is a happy number.

112641048 is a `hidden beast` number, since 1 + 12 + 641 + 0 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112641049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12373 + ... + 19451.

It is an arithmetic number, because the mean of its divisors is an integer number (3624075).

Almost surely, 2^112641048 is an apocalyptic number.

112641048 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 112641048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173955600).

112641048 is an abundant number, since it is smaller than the sum of its proper divisors (235270152).

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

112641048 is a wasteful number, since it uses less digits than its factorization.

112641048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112641048 is about 10613.2487015051. The cubic root of 112641048 is about 482.9463567085.

Adding to 112641048 its reverse (840146211), we get a palindrome (952787259).

The spelling of 112641048 in words is "one hundred twelve million, six hundred forty-one thousand, forty-eight".