8049596026761 has 27 divisors (see below), whose sum is σ = 12351601397863. Its totient is φ = 5050636128960.

The previous prime is 8049596026741. The next prime is 8049596026793. The reversal of 8049596026761 is 1676206959408.

The square root of 8049596026761 is 2837181.

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

8049596026761 is a `hidden beast` number, since 8 + 0 + 495 + 9 + 60 + 26 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6266986526025 + 1782609500736 = 2503395^2 + 1335144^2 .

It is not a de Polignac number, because 8049596026761 - 2²⁷ = 8049461809033 is a prime.

It is a super-2 number, since 2×8049596026761² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8049596026741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144668416 + ... + 144724046.

Almost surely, 2^{8049596026761} is an apocalyptic number.

8049596026761 is the 2837181-st square number.

8049596026761 is the 1418591-st centered octagonal number.

It is an amenable number.

8049596026761 is a deficient number, since it is larger than the sum of its proper divisors (4302005371102).

8049596026761 is an frugal number, since it uses more digits than its factorization.

8049596026761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111302 (or 55651 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 8049596026761 in words is "eight trillion, forty-nine billion, five hundred ninety-six million, twenty-six thousand, seven hundred sixty-one".