112048281307872 has 864 divisors, whose sum is σ = 423583842794112. Its totient is φ = 28863903108096.

The previous prime is 112048281307813. The next prime is 112048281307877. The reversal of 112048281307872 is 278703182840211.

112048281307872 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 482 + 81 + 3 + 0 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112048281307877) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212729383 + ... + 213255449.

It is an arithmetic number, because the mean of its divisors is an integer number (490259077308).

Almost surely, 2^{112048281307872} is an apocalyptic number.

112048281307872 is a gapful number since it is divisible by the number (12) 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 112048281307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211791921397056).

112048281307872 is an abundant number, since it is smaller than the sum of its proper divisors (311535561486240).

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

112048281307872 is a wasteful number, since it uses less digits than its factorization.

112048281307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526162 (or 526135 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 112048281307872 in words is "one hundred twelve trillion, forty-eight billion, two hundred eighty-one million, three hundred seven thousand, eight hundred seventy-two".