4705718188064 has 96 divisors (see below), whose sum is σ = 9727711686000. Its totient is φ = 2237865283584.

The previous prime is 4705718188037. The next prime is 4705718188121. The reversal of 4705718188064 is 4608818175074.

It can be written as a sum of positive squares in 8 ways, for example, as 2315936112400 + 2389782075664 = 1521820^2 + 1545892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4705718187994 and 4705718188012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17364842 + ... + 17633750.

Almost surely, 2^{4705718188064} 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 4705718188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863855843000).

4705718188064 is an abundant number, since it is smaller than the sum of its proper divisors (5021993497936).

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

4705718188064 is a wasteful number, since it uses less digits than its factorization.

4705718188064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269230 (or 269222 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 59.

The spelling of 4705718188064 in words is "four trillion, seven hundred five billion, seven hundred eighteen million, one hundred eighty-eight thousand, sixty-four".