4785046875625 has 45 divisors (see below), whose sum is σ = 6353047935619. Its totient is φ = 3602158832000.

The previous prime is 4785046875599. The next prime is 4785046875673. The reversal of 4785046875625 is 5265786405874.

It is a happy number.

The square root of 4785046875625 is 2187475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2336798338281 + 2448248537344 = 1528659^2 + 1564688^2 .

It is not a de Polignac number, because 4785046875625 - 2¹⁷ = 4785046744553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 929674302 + ... + 929679448.

Almost surely, 2^{4785046875625} is an apocalyptic number.

4785046875625 is the 2187475-th square number.

4785046875625 is the 1093738-th centered octagonal number.

It is an amenable number.

4785046875625 is a deficient number, since it is larger than the sum of its proper divisors (1568001059994).

4785046875625 is an frugal number, since it uses more digits than its factorization.

4785046875625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 451584000, while the sum is 67.

The spelling of 4785046875625 in words is "four trillion, seven hundred eighty-five billion, forty-six million, eight hundred seventy-five thousand, six hundred twenty-five".