8275074949449 has 225 divisors, whose sum is σ = 15877879123799. Its totient is φ = 4291491093120.

The previous prime is 8275074949447. The next prime is 8275074949517. The reversal of 8275074949449 is 9449494705728.

The square root of 8275074949449 is 2876643.

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

8275074949449 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 0 + 7 + 494 + 94 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5088250161225 + 3186824788224 = 2255715^2 + 1785168^2 .

It is not a de Polignac number, because 8275074949449 - 2¹ = 8275074949447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8275074949447) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 13954594897 + ... + 13954595489.

Almost surely, 2^{8275074949449} is an apocalyptic number.

8275074949449 is the 2876643-rd square number.

8275074949449 is the 1438322-nd centered octagonal number.

It is an amenable number.

8275074949449 is a deficient number, since it is larger than the sum of its proper divisors (7602804174350).

8275074949449 is an frugal number, since it uses more digits than its factorization.

8275074949449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 8275074949449 in words is "eight trillion, two hundred seventy-five billion, seventy-four million, nine hundred forty-nine thousand, four hundred forty-nine".