113820562243584 has 1155 divisors, whose sum is σ = 398357078040187. Its totient is φ = 32520160641024.

The previous prime is 113820562243543. The next prime is 113820562243589. The reversal of 113820562243584 is 485342265028311.

The square root of 113820562243584 is 10668672.

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

113820562243584 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 0 + 5 + 622 + 4 + 3 + 5 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 113820562243584.

It is not an unprimeable number, because it can be changed into a prime (113820562243589) 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 76 ways as a sum of consecutive naturals, for example, 16260080320509 + ... + 16260080320515.

Almost surely, 2^{113820562243584} is an apocalyptic number.

113820562243584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

113820562243584 is the 10668672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113820562243584

113820562243584 is an abundant number, since it is smaller than the sum of its proper divisors (284536515796603).

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

113820562243584 is an frugal number, since it uses more digits than its factorization.

113820562243584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 113820562243584 in words is "one hundred thirteen trillion, eight hundred twenty billion, five hundred sixty-two million, two hundred forty-three thousand, five hundred eighty-four".