32306545808064 has 560 divisors, whose sum is σ = 107079944856192. Its totient is φ = 9545817600000.

The previous prime is 32306545808041. The next prime is 32306545808137. The reversal of 32306545808064 is 46080854560323.

32306545808064 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 6 + 54 + 580 + 8 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×32306545808064² (a number of 28 digits) contains 22 as substring.

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 32306545808064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6946148139 + ... + 6946152789.

Almost surely, 2^{32306545808064} 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 32306545808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53539972428096).

32306545808064 is an abundant number, since it is smaller than the sum of its proper divisors (74773399048128).

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

32306545808064 is a wasteful number, since it uses less digits than its factorization.

32306545808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 32306545808064 in words is "thirty-two trillion, three hundred six billion, five hundred forty-five million, eight hundred eight thousand, sixty-four".