248437449225 has 243 divisors, whose sum is σ = 534164670741. Its totient is φ = 110054448000.

The previous prime is 248437449223. The next prime is 248437449229. The reversal of 248437449225 is 522944734842.

The square root of 248437449225 is 498435.

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

248437449225 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 374 + 49 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45872644041 + 202564805184 = 214179^2 + 450072^2 .

It is not a de Polignac number, because 248437449225 - 2¹ = 248437449223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248437449223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2459776675 + ... + 2459776775.

Almost surely, 2^248437449225 is an apocalyptic number.

248437449225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248437449225 is the 498435-th square number.

248437449225 is the 249218-th centered octagonal number.

It is an amenable number.

248437449225 is an abundant number, since it is smaller than the sum of its proper divisors (285727221516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248437449225 is a wasteful number, since it uses less digits than its factorization.

248437449225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 248437449225 in words is "two hundred forty-eight billion, four hundred thirty-seven million, four hundred forty-nine thousand, two hundred twenty-five".