230003356401 has 144 divisors (see below), whose sum is σ = 428309678160. Its totient is φ = 117816975360.

The previous prime is 230003356393. The next prime is 230003356411. The reversal of 230003356401 is 104653300032.

It is a happy number.

230003356401 is a `hidden beast` number, since 2 + 300 + 0 + 3 + 356 + 4 + 0 + 1 = 666.

230003356401 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 8 ways, for example, as 25011738801 + 204991617600 = 158151^2 + 452760^2 .

It is not a de Polignac number, because 230003356401 - 2³ = 230003356393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230003356411) 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 143 ways as a sum of consecutive naturals, for example, 53825001 + ... + 53829273.

It is an arithmetic number, because the mean of its divisors is an integer number (2974372765).

Almost surely, 2^230003356401 is an apocalyptic number.

230003356401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230003356401 is a deficient number, since it is larger than the sum of its proper divisors (198306321759).

230003356401 is a wasteful number, since it uses less digits than its factorization.

230003356401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 230003356401 its reverse (104653300032), we get a palindrome (334656656433).

The spelling of 230003356401 in words is "two hundred thirty billion, three million, three hundred fifty-six thousand, four hundred one".