71622658806857 has 2 divisors, whose sum is σ = 71622658806858. Its totient is φ = 71622658806856.

The previous prime is 71622658806851. The next prime is 71622658806893. The reversal of 71622658806857 is 75860885622617.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59408500551481 + 12214158255376 = 7707691^2 + 3494876^2 .

It is a cyclic number.

It is not a de Polignac number, because 71622658806857 - 2¹⁰ = 71622658805833 is a prime.

It is a super-4 number, since 4×71622658806857⁴ (a number of 57 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (71622658806851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35811329403428 + 35811329403429.

It is an arithmetic number, because the mean of its divisors is an integer number (35811329403429).

Almost surely, 2^{71622658806857} is an apocalyptic number.

It is an amenable number.

71622658806857 is a deficient number, since it is larger than the sum of its proper divisors (1).

71622658806857 is an equidigital number, since it uses as much as digits as its factorization.

71622658806857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 541900800, while the sum is 71.

The spelling of 71622658806857 in words is "seventy-one trillion, six hundred twenty-two billion, six hundred fifty-eight million, eight hundred six thousand, eight hundred fifty-seven".