112912782198048 has 144 divisors (see below), whose sum is σ = 380557895739840. Its totient is φ = 32260794898176.

The previous prime is 112912782198017. The next prime is 112912782198049. The reversal of 112912782198048 is 840891287219211.

112912782198048 is a `hidden beast` number, since 11 + 29 + 1 + 278 + 219 + 80 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (112912782198049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1037136763 + ... + 1037245626.

It is an arithmetic number, because the mean of its divisors is an integer number (2642763164860).

Almost surely, 2^{112912782198048} is an apocalyptic number.

112912782198048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112912782198048 is an abundant number, since it is smaller than the sum of its proper divisors (267645113541792).

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

112912782198048 is an equidigital number, since it uses as much as digits as its factorization.

112912782198048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074382421 (or 2074382401 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 112912782198048 in words is "one hundred twelve trillion, nine hundred twelve billion, seven hundred eighty-two million, one hundred ninety-eight thousand, forty-eight".