8384875792225 has 9 divisors (see below), whose sum is σ = 10397263935513. Its totient is φ = 6707889051120.

The previous prime is 8384875792201. The next prime is 8384875792297. The reversal of 8384875792225 is 5222975784838.

The square root of 8384875792225 is 2895665.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1509278589729 + 6875597202496 = 1228527^2 + 2622136^2 .

It is not a de Polignac number, because 8384875792225 - 2¹⁵ = 8384875759457 is a prime.

It is a super-2 number, since 2×8384875792225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 14188759 + ... + 14767891.

Almost surely, 2^{8384875792225} is an apocalyptic number.

8384875792225 is the 2895665-th square number.

8384875792225 is the 1447833-rd centered octagonal number.

It is an amenable number.

8384875792225 is a deficient number, since it is larger than the sum of its proper divisors (2012388143288).

8384875792225 is an frugal number, since it uses more digits than its factorization.

8384875792225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158276 (or 579138 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 70.

The spelling of 8384875792225 in words is "eight trillion, three hundred eighty-four billion, eight hundred seventy-five million, seven hundred ninety-two thousand, two hundred twenty-five".