4761966049 has 9 divisors (see below), whose sum is σ = 4804223571. Its totient is φ = 4720078800.

The previous prime is 4761966047. The next prime is 4761966059. The reversal of 4761966049 is 9406691674.

The square root of 4761966049 is 69007.

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., 4118430625 + 643535424 = 64175^2 + 25368^2 .

It is not a de Polignac number, because 4761966049 - 2¹ = 4761966047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4761965987 and 4761966005.

It is not an unprimeable number, because it can be changed into a prime (4761966043) 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 8 ways as a sum of consecutive naturals, for example, 10419829 + ... + 10420285.

It is an arithmetic number, because the mean of its divisors is an integer number (533802619).

Almost surely, 2^4761966049 is an apocalyptic number.

4761966049 is the 69007-th square number.

4761966049 is the 34504-th centered octagonal number.

It is an amenable number.

4761966049 is a deficient number, since it is larger than the sum of its proper divisors (42257522).

4761966049 is an frugal number, since it uses more digits than its factorization.

4761966049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The cubic root of 4761966049 is about 1682.3980833285.

The spelling of 4761966049 in words is "four billion, seven hundred sixty-one million, nine hundred sixty-six thousand, forty-nine".