233978011344001 has 2 divisors, whose sum is σ = 233978011344002. Its totient is φ = 233978011344000.

The previous prime is 233978011343987. The next prime is 233978011344037. The reversal of 233978011344001 is 100443110879332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155038358073600 + 78939653270401 = 12451440^2 + 8884799^2 .

It is a cyclic number.

It is not a de Polignac number, because 233978011344001 - 2⁴¹ = 231778988088449 is a prime.

It is a super-3 number, since 3×233978011344001³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (233978011341001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116989005672000 + 116989005672001.

It is an arithmetic number, because the mean of its divisors is an integer number (116989005672001).

Almost surely, 2^{233978011344001} is an apocalyptic number.

It is an amenable number.

233978011344001 is a deficient number, since it is larger than the sum of its proper divisors (1).

233978011344001 is an equidigital number, since it uses as much as digits as its factorization.

233978011344001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 233978011344001 in words is "two hundred thirty-three trillion, nine hundred seventy-eight billion, eleven million, three hundred forty-four thousand, one".