112048123944960 has 3024 divisors, whose sum is σ = 479929727407104. Its totient is φ = 25030094487552.

The previous prime is 112048123944949. The next prime is 112048123945007. The reversal of 112048123944960 is 69449321840211.

112048123944960 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 48 + 1 + 23 + 94 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a junction number, because it is equal to n+sod(n) for n = 112048123944897 and 112048123944906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 882268692417 + ... + 882268692543.

Almost surely, 2^{112048123944960} is an apocalyptic number.

112048123944960 is a gapful number since it is divisible by the number (10) 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 112048123944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239964863703552).

112048123944960 is an abundant number, since it is smaller than the sum of its proper divisors (367881603462144).

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

112048123944960 is an frugal number, since it uses more digits than its factorization.

112048123944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 112048123944960 in words is "one hundred twelve trillion, forty-eight billion, one hundred twenty-three million, nine hundred forty-four thousand, nine hundred sixty".