5805068615641 has 27 divisors (see below), whose sum is σ = 6170716526589. Its totient is φ = 5460290034912.

The previous prime is 5805068615617. The next prime is 5805068615681. The reversal of 5805068615641 is 1465168605085.

It is a happy number.

The square root of 5805068615641 is 2409371.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4692296801241 + 1112771814400 = 2166171^2 + 1054880^2 .

It is not a de Polignac number, because 5805068615641 - 2⁵ = 5805068615609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5805068615681) 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, 7919602111 + ... + 7919602843.

Almost surely, 2^{5805068615641} is an apocalyptic number.

5805068615641 is the 2409371-st square number.

5805068615641 is the 1204686-th centered octagonal number.

It is an amenable number.

5805068615641 is a deficient number, since it is larger than the sum of its proper divisors (365647910948).

5805068615641 is an frugal number, since it uses more digits than its factorization.

5805068615641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 55.

The spelling of 5805068615641 in words is "five trillion, eight hundred five billion, sixty-eight million, six hundred fifteen thousand, six hundred forty-one".