71266536686401 has 27 divisors (see below), whose sum is σ = 85664612398113. Its totient is φ = 59113580004360.

The previous prime is 71266536686363. The next prime is 71266536686413. The reversal of 71266536686401 is 10468663566217.

The square root of 71266536686401 is 8441951.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 71266536686401 - 2⁷ = 71266536686273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71266536686401.

It is not an unprimeable number, because it can be changed into a prime (71266536689401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1831883916 + ... + 1831922818.

Almost surely, 2^{71266536686401} is an apocalyptic number.

71266536686401 is the 8441951-st square number.

71266536686401 is the 4220976-th centered octagonal number.

It is an amenable number.

71266536686401 is a deficient number, since it is larger than the sum of its proper divisors (14398075711712).

71266536686401 is an frugal number, since it uses more digits than its factorization.

71266536686401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77882 (or 38941 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 71266536686401 in words is "seventy-one trillion, two hundred sixty-six billion, five hundred thirty-six million, six hundred eighty-six thousand, four hundred one".