8134777249 has 27 divisors (see below), whose sum is σ = 8859724851. Its totient is φ = 7467980400.

The previous prime is 8134777243. The next prime is 8134777271. The reversal of 8134777249 is 9427774318.

It is a happy number.

The square root of 8134777249 is 90193.

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

It can be written as a sum of positive squares in only one way, i.e., 7815797649 + 318979600 = 88407^2 + 17860^2 .

It is not a de Polignac number, because 8134777249 - 2⁹ = 8134776737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8134777196 and 8134777205.

It is not an unprimeable number, because it can be changed into a prime (8134777243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80542299 + ... + 80542399.

Almost surely, 2^8134777249 is an apocalyptic number.

8134777249 is the 90193-rd square number.

8134777249 is the 45097-th centered octagonal number.

It is an amenable number.

8134777249 is a deficient number, since it is larger than the sum of its proper divisors (724947602).

8134777249 is an equidigital number, since it uses as much as digits as its factorization.

8134777249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 52.

The cubic root of 8134777249 is about 2011.1689486039.

The spelling of 8134777249 in words is "eight billion, one hundred thirty-four million, seven hundred seventy-seven thousand, two hundred forty-nine".