8039895791841 has 27 divisors (see below), whose sum is σ = 11647157103673. Its totient is φ = 5344295740800.

The previous prime is 8039895791803. The next prime is 8039895791849. The reversal of 8039895791841 is 1481975989308.

It is a happy number.

The square root of 8039895791841 is 2835471.

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

8039895791841 is a `hidden beast` number, since 8 + 0 + 3 + 9 + 8 + 9 + 579 + 1 + 8 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 897083651025 + 7142812140816 = 947145^2 + 2672604^2 .

It is not a de Polignac number, because 8039895791841 - 2¹⁵ = 8039895759073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8039895791841.

It is not an unprimeable number, because it can be changed into a prime (8039895791849) 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, 3411070435 + ... + 3411072791.

Almost surely, 2^{8039895791841} is an apocalyptic number.

8039895791841 is the 2835471-st square number.

8039895791841 is the 1417736-th centered octagonal number.

It is an amenable number.

8039895791841 is a deficient number, since it is larger than the sum of its proper divisors (3607261311832).

8039895791841 is an frugal number, since it uses more digits than its factorization.

8039895791841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 8039895791841 in words is "eight trillion, thirty-nine billion, eight hundred ninety-five million, seven hundred ninety-one thousand, eight hundred forty-one".