4779648225 has 81 divisors (see below), whose sum is σ = 9432405619. Its totient is φ = 2311874400.

The previous prime is 4779648179. The next prime is 4779648241. The reversal of 4779648225 is 5228469774.

The square root of 4779648225 is 69135.

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

4779648225 is a `hidden beast` number, since 4 + 77 + 96 + 482 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1720673361 + 3058974864 = 41481^2 + 55308^2 .

It is not a de Polignac number, because 4779648225 - 2¹⁵ = 4779615457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11407066 + ... + 11407484.

Almost surely, 2^4779648225 is an apocalyptic number.

4779648225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4779648225 is the 69135-th square number.

4779648225 is the 34568-th centered octagonal number.

It is an amenable number.

4779648225 is a deficient number, since it is larger than the sum of its proper divisors (4652757394).

4779648225 is a wasteful number, since it uses less digits than its factorization.

4779648225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 438 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The cubic root of 4779648225 is about 1684.4778765431.

The spelling of 4779648225 in words is "four billion, seven hundred seventy-nine million, six hundred forty-eight thousand, two hundred twenty-five".