2806365398841 has 45 divisors (see below), whose sum is σ = 4180070875721. Its totient is φ = 1814304548304.

The previous prime is 2806365398819. The next prime is 2806365398849. The reversal of 2806365398841 is 1488935636082.

It is a happy number.

The square root of 2806365398841 is 1675221.

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

2806365398841 is a `hidden beast` number, since 28 + 0 + 6 + 36 + 539 + 8 + 8 + 41 = 666.

2806365398841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 435627720441 + 2370737678400 = 660021^2 + 1539720^2 .

It is not a de Polignac number, because 2806365398841 - 2⁹ = 2806365398329 is a prime.

It is a super-3 number, since 3×2806365398841³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2806365398849) 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, 25746471495 + ... + 25746471603.

Almost surely, 2^{2806365398841} is an apocalyptic number.

2806365398841 is the 1675221-st square number.

2806365398841 is the 837611-st centered octagonal number.

It is an amenable number.

2806365398841 is a deficient number, since it is larger than the sum of its proper divisors (1373705476880).

2806365398841 is an frugal number, since it uses more digits than its factorization.

2806365398841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 2806365398841 in words is "two trillion, eight hundred six billion, three hundred sixty-five million, three hundred ninety-eight thousand, eight hundred forty-one".