71856312841801 has 2 divisors, whose sum is σ = 71856312841802. Its totient is φ = 71856312841800.

The previous prime is 71856312841763. The next prime is 71856312841837. The reversal of 71856312841801 is 10814821365817.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67180235286025 + 4676077555776 = 8196355^2 + 2162424^2 .

It is a cyclic number.

It is not a de Polignac number, because 71856312841801 - 2¹⁵ = 71856312809033 is a prime.

It is not a weakly prime, because it can be changed into another prime (71856312841601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35928156420900 + 35928156420901.

It is an arithmetic number, because the mean of its divisors is an integer number (35928156420901).

Almost surely, 2^{71856312841801} is an apocalyptic number.

It is an amenable number.

71856312841801 is a deficient number, since it is larger than the sum of its proper divisors (1).

71856312841801 is an equidigital number, since it uses as much as digits as its factorization.

71856312841801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 71856312841801 in words is "seventy-one trillion, eight hundred fifty-six billion, three hundred twelve million, eight hundred forty-one thousand, eight hundred one".