112984721424 has 75 divisors (see below), whose sum is σ = 327045590157. Its totient is φ = 37657540224.

The previous prime is 112984721417. The next prime is 112984721431. The reversal of 112984721424 is 424127489211.

The square root of 112984721424 is 336132.

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

112984721424 is a `hidden beast` number, since 1 + 129 + 84 + 7 + 21 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (112984721417) and next prime (112984721431).

It can be written as a sum of positive squares in only one way, i.e., 107203856400 + 5780865024 = 327420^2 + 76032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112984721424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12096084 + ... + 12105420.

Almost surely, 2^112984721424 is an apocalyptic number.

112984721424 is the 336132-nd square number.

It is an amenable number.

112984721424 is an abundant number, since it is smaller than the sum of its proper divisors (214060868733).

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

112984721424 is an frugal number, since it uses more digits than its factorization.

112984721424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18694 (or 9342 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 112984721424 in words is "one hundred twelve billion, nine hundred eighty-four million, seven hundred twenty-one thousand, four hundred twenty-four".