112942617984 has 192 divisors, whose sum is σ = 387583223040. Its totient is φ = 30866254848.

The previous prime is 112942617929. The next prime is 112942617989. The reversal of 112942617984 is 489716249211.

112942617984 is a `hidden beast` number, since 1 + 1 + 294 + 261 + 7 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112942617984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112942617989) 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, 119002 + ... + 489945.

It is an arithmetic number, because the mean of its divisors is an integer number (2018662620).

Almost surely, 2^112942617984 is an apocalyptic number.

112942617984 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 112942617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193791611520).

112942617984 is an abundant number, since it is smaller than the sum of its proper divisors (274640605056).

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

112942617984 is a wasteful number, since it uses less digits than its factorization.

112942617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608997 (or 608982 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 112942617984 in words is "one hundred twelve billion, nine hundred forty-two million, six hundred seventeen thousand, nine hundred eighty-four".