8385582349369 has 27 divisors (see below), whose sum is σ = 8583530331909. Its totient is φ = 8192181423000.

The previous prime is 8385582349289. The next prime is 8385582349427. The reversal of 8385582349369 is 9639432855838.

It is a happy number.

The square root of 8385582349369 is 2895787.

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

It is not a de Polignac number, because 8385582349369 - 2¹¹ = 8385582347321 is a prime.

It is a super-2 number, since 2×8385582349369² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8385582319369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33408694494 + ... + 33408694744.

Almost surely, 2^{8385582349369} is an apocalyptic number.

8385582349369 is the 2895787-th square number.

8385582349369 is the 1447894-th centered octagonal number.

It is an amenable number.

8385582349369 is a deficient number, since it is larger than the sum of its proper divisors (197947982540).

8385582349369 is an frugal number, since it uses more digits than its factorization.

8385582349369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 73.

The spelling of 8385582349369 in words is "eight trillion, three hundred eighty-five billion, five hundred eighty-two million, three hundred forty-nine thousand, three hundred sixty-nine".