71647743321001 has 9 divisors (see below), whose sum is σ = 72014959665399. Its totient is φ = 71282390150664.

The previous prime is 71647743320999. The next prime is 71647743321029. The reversal of 71647743321001 is 10012334774617.

The square root of 71647743321001 is 8464499.

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

It can be written as a sum of positive squares in only one way, i.e., 70200351459225 + 1447391861776 = 8378565^2 + 1203076^2 .

It is not a de Polignac number, because 71647743321001 - 2¹ = 71647743320999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71647743321901) 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 in 8 ways as a sum of consecutive naturals, for example, 1667484820 + ... + 1667527786.

Almost surely, 2^{71647743321001} is an apocalyptic number.

71647743321001 is the 8464499-th square number.

71647743321001 is the 4232250-th centered octagonal number.

It is an amenable number.

71647743321001 is a deficient number, since it is larger than the sum of its proper divisors (367216344398).

71647743321001 is an frugal number, since it uses more digits than its factorization.

71647743321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86328 (or 43164 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 71647743321001 in words is "seventy-one trillion, six hundred forty-seven billion, seven hundred forty-three million, three hundred twenty-one thousand, one".