112146565752 has 192 divisors, whose sum is σ = 329933691360. Its totient is φ = 34208179200.

The previous prime is 112146565723. The next prime is 112146565757. The reversal of 112146565752 is 257565641211.

112146565752 is a `hidden beast` number, since 1 + 1 + 2 + 14 + 6 + 565 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112146565698 and 112146565707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112146565757) 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, 119177602 + ... + 119178542.

Almost surely, 2^112146565752 is an apocalyptic number.

112146565752 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 112146565752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164966845680).

112146565752 is an abundant number, since it is smaller than the sum of its proper divisors (217787125608).

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

112146565752 is a wasteful number, since it uses less digits than its factorization.

112146565752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1927 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 112146565752 in words is "one hundred twelve billion, one hundred forty-six million, five hundred sixty-five thousand, seven hundred fifty-two".