71844368644057 has 2 divisors, whose sum is σ = 71844368644058. Its totient is φ = 71844368644056.

The previous prime is 71844368644033. The next prime is 71844368644063. The reversal of 71844368644057 is 75044686344817.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40479675668496 + 31364692975561 = 6362364^2 + 5600419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71844368644057 is a prime.

It is a super-2 number, since 2×71844368644057² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71844368643983 and 71844368644001.

It is not a weakly prime, because it can be changed into another prime (71844368644457) 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, 35922184322028 + 35922184322029.

It is an arithmetic number, because the mean of its divisors is an integer number (35922184322029).

Almost surely, 2^{71844368644057} is an apocalyptic number.

It is an amenable number.

71844368644057 is a deficient number, since it is larger than the sum of its proper divisors (1).

71844368644057 is an equidigital number, since it uses as much as digits as its factorization.

71844368644057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 433520640, while the sum is 67.

The spelling of 71844368644057 in words is "seventy-one trillion, eight hundred forty-four billion, three hundred sixty-eight million, six hundred forty-four thousand, fifty-seven".