6617864295441 has 27 divisors (see below), whose sum is σ = 11119903569723. Its totient is φ = 3781605870000.

The previous prime is 6617864295319. The next prime is 6617864295443. The reversal of 6617864295441 is 1445924687166.

The square root of 6617864295441 is 2572521.

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

6617864295441 is a `hidden beast` number, since 6 + 6 + 1 + 7 + 8 + 64 + 29 + 544 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6617648205441 + 216090000 = 2572479^2 + 14700^2 .

It is not a de Polignac number, because 6617864295441 - 2¹¹ = 6617864293393 is a prime.

It is a super-2 number, since 2×6617864295441² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6617864295443) 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 26 ways as a sum of consecutive naturals, for example, 53961691 + ... + 54084191.

Almost surely, 2^{6617864295441} is an apocalyptic number.

6617864295441 is the 2572521-st square number.

6617864295441 is the 1286261-st centered octagonal number.

It is an amenable number.

6617864295441 is a deficient number, since it is larger than the sum of its proper divisors (4502039274282).

6617864295441 is an frugal number, since it uses more digits than its factorization.

6617864295441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245022 (or 122511 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 6617864295441 in words is "six trillion, six hundred seventeen billion, eight hundred sixty-four million, two hundred ninety-five thousand, four hundred forty-one".