968238288001 has 2 divisors, whose sum is σ = 968238288002. Its totient is φ = 968238288000.

The previous prime is 968238287999. The next prime is 968238288011. The reversal of 968238288001 is 100882832869.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 840199557376 + 128038730625 = 916624^2 + 357825^2 .

It is a cyclic number.

It is not a de Polignac number, because 968238288001 - 2¹ = 968238287999 is a prime.

It is a super-2 number, since 2×968238288001² (a number of 25 digits) contains 22 as substring.

Together with 968238287999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (968238288011) 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 as a sum of consecutive naturals, namely, 484119144000 + 484119144001.

It is an arithmetic number, because the mean of its divisors is an integer number (484119144001).

Almost surely, 2^968238288001 is an apocalyptic number.

It is an amenable number.

968238288001 is a deficient number, since it is larger than the sum of its proper divisors (1).

968238288001 is an equidigital number, since it uses as much as digits as its factorization.

968238288001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 968238288001 in words is "nine hundred sixty-eight billion, two hundred thirty-eight million, two hundred eighty-eight thousand, one".