113952237072384 has 416 divisors, whose sum is σ = 313150951895040. Its totient is φ = 36831559680000.

The previous prime is 113952237072379. The next prime is 113952237072403. The reversal of 113952237072384 is 483270732259311.

It is a super-2 number, since 2×113952237072384² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104831864289 + ... + 104831865375.

Almost surely, 2^{113952237072384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113952237072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156575475947520).

113952237072384 is an abundant number, since it is smaller than the sum of its proper divisors (199198714822656).

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

113952237072384 is a wasteful number, since it uses less digits than its factorization.

113952237072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 113952237072384 in words is "one hundred thirteen trillion, nine hundred fifty-two billion, two hundred thirty-seven million, seventy-two thousand, three hundred eighty-four".