298656152552241 has 81 divisors (see below), whose sum is σ = 495709352903947. Its totient is φ = 173126397544320.

The previous prime is 298656152552221. The next prime is 298656152552297. The reversal of 298656152552241 is 142255251656892.

The square root of 298656152552241 is 17281671.

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

298656152552241 is a `hidden beast` number, since 2 + 9 + 8 + 6 + 5 + 6 + 1 + 52 + 552 + 24 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4417020992241 + 294239131560000 = 2101671^2 + 17153400^2 .

It is not a de Polignac number, because 298656152552241 - 2⁵ = 298656152552209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (298656152552221) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13116776905 + ... + 13116799673.

Almost surely, 2^{298656152552241} is an apocalyptic number.

298656152552241 is the 17281671-st square number.

298656152552241 is the 8640836-th centered octagonal number.

It is an amenable number.

298656152552241 is a deficient number, since it is larger than the sum of its proper divisors (197053200351706).

298656152552241 is an frugal number, since it uses more digits than its factorization.

298656152552241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45612 (or 22806 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 298656152552241 in words is "two hundred ninety-eight trillion, six hundred fifty-six billion, one hundred fifty-two million, five hundred fifty-two thousand, two hundred forty-one".