398061308241 has 81 divisors (see below), whose sum is σ = 622205165361. Its totient is φ = 245180947968.

The previous prime is 398061308233. The next prime is 398061308251. The reversal of 398061308241 is 142803160893.

The square root of 398061308241 is 630921.

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

398061308241 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 613 + 0 + 8 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 526014225 + 397535294016 = 22935^2 + 630504^2 .

It is not a de Polignac number, because 398061308241 - 2³ = 398061308233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (398061308221) 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, 2863750350 + ... + 2863750488.

Almost surely, 2^398061308241 is an apocalyptic number.

398061308241 is the 630921-st square number.

398061308241 is the 315461-st centered octagonal number.

It is an amenable number.

398061308241 is a deficient number, since it is larger than the sum of its proper divisors (224143857120).

398061308241 is an equidigital number, since it uses as much as digits as its factorization.

398061308241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 398061308241 in words is "three hundred ninety-eight billion, sixty-one million, three hundred eight thousand, two hundred forty-one".