112042128451968 has 2880 divisors, whose sum is σ = 426306842691840. Its totient is φ = 28900493107200.

The previous prime is 112042128451921. The next prime is 112042128451987. The reversal of 112042128451968 is 869154821240211.

112042128451968 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 2 + 128 + 451 + 9 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 426015697405 + ... + 426015697667.

It is an arithmetic number, because the mean of its divisors is an integer number (148023209268).

Almost surely, 2^{112042128451968} is an apocalyptic number.

112042128451968 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 112042128451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213153421345920).

112042128451968 is an abundant number, since it is smaller than the sum of its proper divisors (314264714239872).

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

112042128451968 is a wasteful number, since it uses less digits than its factorization.

112042128451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 112042128451968 in words is "one hundred twelve trillion, forty-two billion, one hundred twenty-eight million, four hundred fifty-one thousand, nine hundred sixty-eight".