4845325464100 has 81 divisors (see below), whose sum is σ = 11557679898513. Its totient is φ = 1761848484000.

The previous prime is 4845325464079. The next prime is 4845325464163. The reversal of 4845325464100 is 14645235484.

The square root of 4845325464100 is 2201210.

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., 1744317167076 + 3101008297024 = 1320726^2 + 1760968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242123095 + ... + 242143105.

Almost surely, 2^{4845325464100} is an apocalyptic number.

4845325464100 is the 2201210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4845325464100

4845325464100 is an abundant number, since it is smaller than the sum of its proper divisors (6712354434413).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4845325464100 is an equidigital number, since it uses as much as digits as its factorization.

4845325464100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40058 (or 20029 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 4845325464100 in words is "four trillion, eight hundred forty-five billion, three hundred twenty-five million, four hundred sixty-four thousand, one hundred".