113585588064 has 384 divisors, whose sum is σ = 372641472000. Its totient is φ = 33418635264.

The previous prime is 113585588041. The next prime is 113585588101. The reversal of 113585588064 is 460885585311.

113585588064 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 8 + 558 + 80 + 6 + 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 113585588064.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 34851267 + ... + 34854525.

It is an arithmetic number, because the mean of its divisors is an integer number (970420500).

Almost surely, 2^113585588064 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 113585588064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186320736000).

113585588064 is an abundant number, since it is smaller than the sum of its proper divisors (259055883936).

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

113585588064 is a wasteful number, since it uses less digits than its factorization.

113585588064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 113585588064 in words is "one hundred thirteen billion, five hundred eighty-five million, five hundred eighty-eight thousand, sixty-four".