1317644564769 has 45 divisors (see below), whose sum is σ = 2131607697219. Its totient is φ = 810775545840.

The previous prime is 1317644564741. The next prime is 1317644564849. The reversal of 1317644564769 is 9674654467131.

The square root of 1317644564769 is 1147887.

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

1317644564769 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 6 + 4 + 4 + 564 + 7 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194917835025 + 1122726729744 = 441495^2 + 1059588^2 .

It is not a de Polignac number, because 1317644564769 - 2⁷ = 1317644564641 is a prime.

It is a super-2 number, since 2×1317644564769² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1317644564969) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 134297874 + ... + 134307684.

Almost surely, 2^{1317644564769} is an apocalyptic number.

1317644564769 is the 1147887-th square number.

1317644564769 is the 573944-th centered octagonal number.

It is an amenable number.

1317644564769 is a deficient number, since it is larger than the sum of its proper divisors (813963132450).

1317644564769 is an frugal number, since it uses more digits than its factorization.

1317644564769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19660 (or 9827 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 1317644564769 in words is "one trillion, three hundred seventeen billion, six hundred forty-four million, five hundred sixty-four thousand, seven hundred sixty-nine".