113345342224 has 45 divisors (see below), whose sum is σ = 233331648501. Its totient is φ = 53328211200.

The previous prime is 113345342203. The next prime is 113345342237. The reversal of 113345342224 is 422243543311.

The square root of 113345342224 is 336668.

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., 88244643600 + 25100698624 = 297060^2 + 158432^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113345342224.

It is an unprimeable number.

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, 22890949 + ... + 22895899.

Almost surely, 2^113345342224 is an apocalyptic number.

113345342224 is the 336668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113345342224

113345342224 is an abundant number, since it is smaller than the sum of its proper divisors (119986306277).

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

113345342224 is an frugal number, since it uses more digits than its factorization.

113345342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944 (or 4970 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

Adding to 113345342224 its reverse (422243543311), we get a palindrome (535588885535).

The spelling of 113345342224 in words is "one hundred thirteen billion, three hundred forty-five million, three hundred forty-two thousand, two hundred twenty-four".