49586827761 has 27 divisors (see below), whose sum is σ = 72180665739. Its totient is φ = 32803583472.

The previous prime is 49586827733. The next prime is 49586827781. The reversal of 49586827761 is 16772868594.

The square root of 49586827761 is 222681.

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

49586827761 is a `hidden beast` number, since 49 + 586 + 8 + 2 + 7 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26953430625 + 22633397136 = 164175^2 + 150444^2 .

It is not a de Polignac number, because 49586827761 - 2⁹ = 49586827249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49586827781) 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, 132940371 + ... + 132940743.

Almost surely, 2^49586827761 is an apocalyptic number.

49586827761 is the 222681-st square number.

49586827761 is the 111341-st centered octagonal number.

It is an amenable number.

49586827761 is a deficient number, since it is larger than the sum of its proper divisors (22593837978).

49586827761 is an frugal number, since it uses more digits than its factorization.

49586827761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 49586827761 in words is "forty-nine billion, five hundred eighty-six million, eight hundred twenty-seven thousand, seven hundred sixty-one".