234014324433201 has 24 divisors (see below), whose sum is σ = 364737454022760. Its totient is φ = 143725890018816.

The previous prime is 234014324433107. The next prime is 234014324433203. The reversal of 234014324433201 is 102334423410432.

234014324433201 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 1 + 4 + 3 + 2 + 443 + 3 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1766599848225 + 232247724584976 = 1329135^2 + 15239676^2 .

It is not a de Polignac number, because 234014324433201 - 2⁹ = 234014324432689 is a prime.

It is a super-2 number, since 2×234014324433201² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234014324433203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1964697256 + ... + 1964816361.

It is an arithmetic number, because the mean of its divisors is an integer number (15197393917615).

Almost surely, 2^{234014324433201} is an apocalyptic number.

It is an amenable number.

234014324433201 is a deficient number, since it is larger than the sum of its proper divisors (130723129589559).

234014324433201 is a wasteful number, since it uses less digits than its factorization.

234014324433201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929514145 (or 3929514142 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 234014324433201 its reverse (102334423410432), we get a palindrome (336348747843633).

The spelling of 234014324433201 in words is "two hundred thirty-four trillion, fourteen billion, three hundred twenty-four million, four hundred thirty-three thousand, two hundred one".