8315391184164 has 135 divisors (see below), whose sum is σ = 22346599152423. Its totient is φ = 2607181474176.

The previous prime is 8315391184141. The next prime is 8315391184169. The reversal of 8315391184164 is 4614811935138.

The square root of 8315391184164 is 2883642.

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

8315391184164 is a `hidden beast` number, since 8 + 3 + 1 + 539 + 1 + 1 + 8 + 41 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2580707305764 + 5734683878400 = 1606458^2 + 2394720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8315391184164.

It is not an unprimeable number, because it can be changed into a prime (8315391184169) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 5000234397 + ... + 5000236059.

Almost surely, 2^{8315391184164} is an apocalyptic number.

8315391184164 is the 2883642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8315391184164

8315391184164 is an abundant number, since it is smaller than the sum of its proper divisors (14031207968259).

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

8315391184164 is an frugal number, since it uses more digits than its factorization.

8315391184164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 1685 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 8315391184164 in words is "eight trillion, three hundred fifteen billion, three hundred ninety-one million, one hundred eighty-four thousand, one hundred sixty-four".