112095423648 has 288 divisors, whose sum is σ = 355176686592. Its totient is φ = 33302016000.

The previous prime is 112095423647. The next prime is 112095423697. The reversal of 112095423648 is 846324590211.

112095423648 is a `hidden beast` number, since 11 + 20 + 9 + 542 + 36 + 48 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (112095423647) 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, 69753661 + ... + 69755267.

It is an arithmetic number, because the mean of its divisors is an integer number (1233252384).

Almost surely, 2^112095423648 is an apocalyptic number.

112095423648 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 112095423648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177588343296).

112095423648 is an abundant number, since it is smaller than the sum of its proper divisors (243081262944).

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

112095423648 is a wasteful number, since it uses less digits than its factorization.

112095423648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 112095423648 in words is "one hundred twelve billion, ninety-five million, four hundred twenty-three thousand, six hundred forty-eight".