112345342560 has 288 divisors, whose sum is σ = 418600859040. Its totient is φ = 27211161600.

The previous prime is 112345342513. The next prime is 112345342567. The reversal of 112345342560 is 65243543211.

112345342560 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 4 + 53 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112345342567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23456646 + ... + 23461434.

It is an arithmetic number, because the mean of its divisors is an integer number (1453475205).

Almost surely, 2^112345342560 is an apocalyptic number.

112345342560 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 112345342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209300429520).

112345342560 is an abundant number, since it is smaller than the sum of its proper divisors (306255516480).

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

112345342560 is a wasteful number, since it uses less digits than its factorization.

112345342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 112345342560 its reverse (65243543211), we get a palindrome (177588885771).

The spelling of 112345342560 in words is "one hundred twelve billion, three hundred forty-five million, three hundred forty-two thousand, five hundred sixty".