4866444824004 has 81 divisors (see below), whose sum is σ = 12349220912301. Its totient is φ = 1615852344960.

The previous prime is 4866444823969. The next prime is 4866444824011. The reversal of 4866444824004 is 4004284446684.

The square root of 4866444824004 is 2206002.

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

4866444824004 is a `hidden beast` number, since 4 + 86 + 6 + 44 + 482 + 40 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1312284802500 + 3554160021504 = 1145550^2 + 1885248^2 .

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, 4460535499 + ... + 4460536589.

Almost surely, 2^{4866444824004} is an apocalyptic number.

4866444824004 is the 2206002-nd square number.

It is an amenable number.

4866444824004 is an abundant number, since it is smaller than the sum of its proper divisors (7482776088297).

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

4866444824004 is an equidigital number, since it uses as much as digits as its factorization.

4866444824004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 4866444824004 in words is "four trillion, eight hundred sixty-six billion, four hundred forty-four million, eight hundred twenty-four thousand, four".