113348035584 has 495 divisors, whose sum is σ = 396113187063. Its totient is φ = 32191229952.

The previous prime is 113348035547. The next prime is 113348035601. The reversal of 113348035584 is 485530843311.

It is a happy number.

The square root of 113348035584 is 336672.

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

113348035584 is a `hidden beast` number, since 1 + 1 + 3 + 34 + 8 + 0 + 35 + 584 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 678730669 + ... + 678730835.

Almost surely, 2^113348035584 is an apocalyptic number.

113348035584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

113348035584 is the 336672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113348035584

113348035584 is an abundant number, since it is smaller than the sum of its proper divisors (282765151479).

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

113348035584 is an frugal number, since it uses more digits than its factorization.

113348035584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 113348035584 its reverse (485530843311), we get a palindrome (598878878895).

The spelling of 113348035584 in words is "one hundred thirteen billion, three hundred forty-eight million, thirty-five thousand, five hundred eighty-four".