112042833984 has 105 divisors (see below), whose sum is σ = 332201516317. Its totient is φ = 37339577856.

The previous prime is 112042833961. The next prime is 112042833989. The reversal of 112042833984 is 489338240211.

The square root of 112042833984 is 334728.

It is a perfect power (a square), and thus also a powerful number.

112042833984 is a `hidden beast` number, since 11 + 204 + 28 + 339 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109645752384 + 2397081600 = 331128^2 + 48960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112042833989) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24098092 + ... + 24102740.

Almost surely, 2^112042833984 is an apocalyptic number.

112042833984 is the 334728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112042833984

112042833984 is an abundant number, since it is smaller than the sum of its proper divisors (220158682333).

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

112042833984 is an frugal number, since it uses more digits than its factorization.

112042833984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 112042833984 in words is "one hundred twelve billion, forty-two million, eight hundred thirty-three thousand, nine hundred eighty-four".