71968138241 has 16 divisors (see below), whose sum is σ = 72905152320. Its totient is φ = 71036792640.

The previous prime is 71968138217. The next prime is 71968138243. The reversal of 71968138241 is 14283186917.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 71968138241 - 2¹⁴ = 71968121857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71968138241.

It is not an unprimeable number, because it can be changed into a prime (71968138243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42508391 + ... + 42510083.

It is an arithmetic number, because the mean of its divisors is an integer number (4556572020).

Almost surely, 2^71968138241 is an apocalyptic number.

It is an amenable number.

71968138241 is a deficient number, since it is larger than the sum of its proper divisors (937014079).

71968138241 is a wasteful number, since it uses less digits than its factorization.

71968138241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056.

The product of its digits is 580608, while the sum is 50.

The spelling of 71968138241 in words is "seventy-one billion, nine hundred sixty-eight million, one hundred thirty-eight thousand, two hundred forty-one".