448794146241 has 243 divisors, whose sum is σ = 843535340739. Its totient is φ = 229209450624.

The previous prime is 448794146239. The next prime is 448794146327. The reversal of 448794146241 is 142641497844.

The square root of 448794146241 is 669921.

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

448794146241 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 9 + 4 + 1 + 4 + 624 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254757420225 + 194036726016 = 504735^2 + 440496^2 .

It is not a de Polignac number, because 448794146241 - 2¹ = 448794146239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (448794146041) 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, 6147864981 + ... + 6147865053.

Almost surely, 2^448794146241 is an apocalyptic number.

448794146241 is the 669921-st square number.

448794146241 is the 334961-st centered octagonal number.

It is an amenable number.

448794146241 is a deficient number, since it is larger than the sum of its proper divisors (394741194498).

448794146241 is a wasteful number, since it uses less digits than its factorization.

448794146241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 448794146241 in words is "four hundred forty-eight billion, seven hundred ninety-four million, one hundred forty-six thousand, two hundred forty-one".