4782829033024 has 147 divisors (see below), whose sum is σ = 11086644425473. Its totient is φ = 2047211996928.

The previous prime is 4782829033013. The next prime is 4782829033033. The reversal of 4782829033024 is 4203309282874.

It is a happy number.

The square root of 4782829033024 is 2186968.

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., 2319285326400 + 2463543706624 = 1522920^2 + 1569568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6001039794 + ... + 6001040590.

Almost surely, 2^{4782829033024} is an apocalyptic number.

4782829033024 is the 2186968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4782829033024

4782829033024 is an abundant number, since it is smaller than the sum of its proper divisors (6303815392449).

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

4782829033024 is an frugal number, since it uses more digits than its factorization.

4782829033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 4782829033024 in words is "four trillion, seven hundred eighty-two billion, eight hundred twenty-nine million, thirty-three thousand, twenty-four".