113384399076 has 135 divisors (see below), whose sum is σ = 321187027161. Its totient is φ = 34863263136.

The previous prime is 113384399047. The next prime is 113384399147. The reversal of 113384399076 is 670993483311.

It is a happy number.

The square root of 113384399076 is 336726.

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

113384399076 is a `hidden beast` number, since 1 + 133 + 8 + 439 + 9 + 0 + 76 = 666.

113384399076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16772840100 + 96611558976 = 129510^2 + 310824^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 78793165 + ... + 78794603.

Almost surely, 2^113384399076 is an apocalyptic number.

113384399076 is the 336726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113384399076

113384399076 is an abundant number, since it is smaller than the sum of its proper divisors (207802628085).

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

113384399076 is an equidigital number, since it uses as much as digits as its factorization.

113384399076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 113384399076 in words is "one hundred thirteen billion, three hundred eighty-four million, three hundred ninety-nine thousand, seventy-six".