230448962601 has 135 divisors (see below), whose sum is σ = 410838985557. Its totient is φ = 128576859840.

The previous prime is 230448962581. The next prime is 230448962659. The reversal of 230448962601 is 106269844032.

The square root of 230448962601 is 480051.

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

230448962601 is a `hidden beast` number, since 2 + 30 + 4 + 4 + 8 + 9 + 6 + 2 + 601 = 666.

230448962601 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 26650889001 + 203798073600 = 163251^2 + 451440^2 .

It is a de Polignac number, because none of the positive numbers 2^k-230448962601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230448912601) 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 134 ways as a sum of consecutive naturals, for example, 617825451 + ... + 617825823.

Almost surely, 2^230448962601 is an apocalyptic number.

230448962601 is the 480051-st square number.

230448962601 is the 240026-th centered octagonal number.

It is an amenable number.

230448962601 is a deficient number, since it is larger than the sum of its proper divisors (180390022956).

230448962601 is an equidigital number, since it uses as much as digits as its factorization.

230448962601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 230448962601 in words is "two hundred thirty billion, four hundred forty-eight million, nine hundred sixty-two thousand, six hundred one".