4604683252752 has 400 divisors, whose sum is σ = 14703583910400. Its totient is φ = 1379636582400.

The previous prime is 4604683252739. The next prime is 4604683252753. The reversal of 4604683252752 is 2572523864064.

4604683252752 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 68 + 3 + 2 + 527 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4604683252753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 473679252 + ... + 473688972.

It is an arithmetic number, because the mean of its divisors is an integer number (36758959776).

Almost surely, 2^{4604683252752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4604683252752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351791955200).

4604683252752 is an abundant number, since it is smaller than the sum of its proper divisors (10098900657648).

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

4604683252752 is a wasteful number, since it uses less digits than its factorization.

4604683252752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 4604683252752 in words is "four trillion, six hundred four billion, six hundred eighty-three million, two hundred fifty-two thousand, seven hundred fifty-two".