8381355033249 has 45 divisors (see below), whose sum is σ = 13762448641249. Its totient is φ = 5079435407640.

The previous prime is 8381355033239. The next prime is 8381355033251. The reversal of 8381355033249 is 9423305531838.

The square root of 8381355033249 is 2895057.

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

8381355033249 is a `hidden beast` number, since 8 + 3 + 8 + 13 + 550 + 3 + 32 + 49 = 666.

It is not a de Polignac number, because 8381355033249 - 2³⁵ = 8346995294881 is a prime.

It is a super-2 number, since 2×8381355033249² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8381355033195 and 8381355033204.

It is not an unprimeable number, because it can be changed into a prime (8381355033239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 286596022 + ... + 286625264.

Almost surely, 2^{8381355033249} is an apocalyptic number.

8381355033249 is the 2895057-th square number.

8381355033249 is the 1447529-th centered octagonal number.

It is an amenable number.

8381355033249 is a deficient number, since it is larger than the sum of its proper divisors (5381093608000).

8381355033249 is an frugal number, since it uses more digits than its factorization.

8381355033249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58520 (or 29257 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 8381355033249 in words is "eight trillion, three hundred eighty-one billion, three hundred fifty-five million, thirty-three thousand, two hundred forty-nine".