298178247249 has 135 divisors (see below), whose sum is σ = 490336276683. Its totient is φ = 180539549568.

The previous prime is 298178247209. The next prime is 298178247281. The reversal of 298178247249 is 942742871892.

The square root of 298178247249 is 546057.

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

298178247249 is a `hidden beast` number, since 2 + 9 + 81 + 7 + 82 + 472 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 232145694225 + 66032553024 = 481815^2 + 256968^2 .

It is not a de Polignac number, because 298178247249 - 2¹⁹ = 298177722961 is a prime.

It is a super-3 number, since 3×298178247249³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (298178247209) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3592508962 + ... + 3592509044.

Almost surely, 2^298178247249 is an apocalyptic number.

298178247249 is the 546057-th square number.

298178247249 is the 273029-th centered octagonal number.

It is an amenable number.

298178247249 is a deficient number, since it is larger than the sum of its proper divisors (192158029434).

298178247249 is an frugal number, since it uses more digits than its factorization.

298178247249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 146 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 298178247249 in words is "two hundred ninety-eight billion, one hundred seventy-eight million, two hundred forty-seven thousand, two hundred forty-nine".