32118018064704 has 504 divisors, whose sum is σ = 109030590448416. Its totient is φ = 8979424819200.

The previous prime is 32118018064687. The next prime is 32118018064711. The reversal of 32118018064704 is 40746081081123.

32118018064704 is a `hidden beast` number, since 3 + 21 + 1 + 80 + 1 + 80 + 6 + 470 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32118018064704.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1996015699 + ... + 1996031789.

It is an arithmetic number, because the mean of its divisors is an integer number (216330536604).

Almost surely, 2^{32118018064704} 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 32118018064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54515295224208).

32118018064704 is an abundant number, since it is smaller than the sum of its proper divisors (76912572383712).

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

32118018064704 is a wasteful number, since it uses less digits than its factorization.

32118018064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18347 (or 18323 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 32118018064704 in words is "thirty-two trillion, one hundred eighteen billion, eighteen million, sixty-four thousand, seven hundred four".