112313457424 has 45 divisors (see below), whose sum is σ = 253156201077. Its totient is φ = 48130317312.

The previous prime is 112313457407. The next prime is 112313457427. The reversal of 112313457424 is 424754313211.

The square root of 112313457424 is 335132.

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

It can be written as a sum of positive squares in only one way, i.e., 9708555024 + 102604902400 = 98532^2 + 320320^2 .

It is a super-3 number, since 3×112313457424³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112313457427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9377712 + ... + 9389680.

Almost surely, 2^112313457424 is an apocalyptic number.

112313457424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

112313457424 is the 335132-nd square number.

It is an amenable number.

112313457424 is an abundant number, since it is smaller than the sum of its proper divisors (140842743653).

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

112313457424 is an frugal number, since it uses more digits than its factorization.

112313457424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23960 (or 11978 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The spelling of 112313457424 in words is "one hundred twelve billion, three hundred thirteen million, four hundred fifty-seven thousand, four hundred twenty-four".