8133088348449 has 45 divisors (see below), whose sum is σ = 12325718860609. Its totient is φ = 5344494092280.

The previous prime is 8133088348403. The next prime is 8133088348453. The reversal of 8133088348449 is 9448438803318.

The square root of 8133088348449 is 2851857.

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

8133088348449 is a `hidden beast` number, since 8 + 1 + 3 + 30 + 8 + 83 + 484 + 49 = 666.

It is not a de Polignac number, because 8133088348449 - 2³⁷ = 7995649394977 is a prime.

It is a super-3 number, since 3×8133088348449³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8133088348499) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1822334392 + ... + 1822338854.

Almost surely, 2^{8133088348449} is an apocalyptic number.

8133088348449 is the 2851857-th square number.

8133088348449 is the 1425929-th centered octagonal number.

It is an amenable number.

8133088348449 is a deficient number, since it is larger than the sum of its proper divisors (4192630512160).

8133088348449 is an frugal number, since it uses more digits than its factorization.

8133088348449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 8133088348449 in words is "eight trillion, one hundred thirty-three billion, eighty-eight million, three hundred forty-eight thousand, four hundred forty-nine".