8484741728164 has 81 divisors (see below), whose sum is σ = 16811237688609. Its totient is φ = 3745003273440.

The previous prime is 8484741728137. The next prime is 8484741728219. The reversal of 8484741728164 is 4618271474848.

The square root of 8484741728164 is 2912858.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1255139308900 + 7229602419264 = 1120330^2 + 2688792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8484741728096 and 8484741728105.

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 26 ways as a sum of consecutive naturals, for example, 1741886649 + ... + 1741891519.

Almost surely, 2^{8484741728164} is an apocalyptic number.

8484741728164 is the 2912858-th square number.

It is an amenable number.

8484741728164 is a deficient number, since it is larger than the sum of its proper divisors (8326495960445).

8484741728164 is an equidigital number, since it uses as much as digits as its factorization.

8484741728164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 4909 counting only the distinct ones).

The product of its digits is 77070336, while the sum is 64.

Multiplying 8484741728164 by its sum of digits (64), we get a square (543023470602496 = 23302864²).

The spelling of 8484741728164 in words is "eight trillion, four hundred eighty-four billion, seven hundred forty-one million, seven hundred twenty-eight thousand, one hundred sixty-four".