248694708249 has 81 divisors (see below), whose sum is σ = 411145305597. Its totient is φ = 144772572672.

The previous prime is 248694708247. The next prime is 248694708259. The reversal of 248694708249 is 942807496842.

The square root of 248694708249 is 498693.

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

248694708249 is a `hidden beast` number, since 2 + 4 + 86 + 9 + 470 + 82 + 4 + 9 = 666.

248694708249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71739872649 + 176954835600 = 267843^2 + 420660^2 .

It is not a de Polignac number, because 248694708249 - 2¹ = 248694708247 is a prime.

It is a super-2 number, since 2×248694708249² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248694708247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 369531177 + ... + 369531849.

Almost surely, 2^248694708249 is an apocalyptic number.

248694708249 is the 498693-rd square number.

248694708249 is the 249347-th centered octagonal number.

It is an amenable number.

248694708249 is a deficient number, since it is larger than the sum of its proper divisors (162450597348).

248694708249 is an equidigital number, since it uses as much as digits as its factorization.

248694708249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 248694708249 in words is "two hundred forty-eight billion, six hundred ninety-four million, seven hundred eight thousand, two hundred forty-nine".