71183162880001 has 2 divisors, whose sum is σ = 71183162880002. Its totient is φ = 71183162880000.

The previous prime is 71183162879993. The next prime is 71183162880061. The reversal of 71183162880001 is 10008826138117.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70798761640000 + 384401240001 = 8414200^2 + 620001^2 .

It is a cyclic number.

It is not a de Polignac number, because 71183162880001 - 2³ = 71183162879993 is a prime.

It is not a weakly prime, because it can be changed into another prime (71183162880061) 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 as a sum of consecutive naturals, namely, 35591581440000 + 35591581440001.

It is an arithmetic number, because the mean of its divisors is an integer number (35591581440001).

Almost surely, 2^{71183162880001} is an apocalyptic number.

It is an amenable number.

71183162880001 is a deficient number, since it is larger than the sum of its proper divisors (1).

71183162880001 is an equidigital number, since it uses as much as digits as its factorization.

71183162880001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 46.

The spelling of 71183162880001 in words is "seventy-one trillion, one hundred eighty-three billion, one hundred sixty-two million, eight hundred eighty thousand, one".