112125853977984 has 2048 divisors, whose sum is σ = 432297027993600. Its totient is φ = 27770248396800.

The previous prime is 112125853977937. The next prime is 112125853977989. The reversal of 112125853977984 is 489779358521211.

112125853977984 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 5 + 8 + 539 + 7 + 7 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112125853977989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177695489349 + ... + 177695489979.

It is an arithmetic number, because the mean of its divisors is an integer number (211082533200).

Almost surely, 2^{112125853977984} is an apocalyptic number.

112125853977984 is a gapful number since it is divisible by the number (14) 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 112125853977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216148513996800).

112125853977984 is an abundant number, since it is smaller than the sum of its proper divisors (320171174015616).

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

112125853977984 is a wasteful number, since it uses less digits than its factorization.

112125853977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1043 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 72.

The spelling of 112125853977984 in words is "one hundred twelve trillion, one hundred twenty-five billion, eight hundred fifty-three million, nine hundred seventy-seven thousand, nine hundred eighty-four".