13002384784 has 45 divisors (see below), whose sum is σ = 26117338273. Its totient is φ = 6270627776.

The previous prime is 13002384781. The next prime is 13002384821. The reversal of 13002384784 is 48748320031.

The square root of 13002384784 is 114028.

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., 6818135184 + 6184249600 = 82572^2 + 78640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002384781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13226757 + ... + 13227739.

Almost surely, 2^13002384784 is an apocalyptic number.

13002384784 is the 114028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002384784

13002384784 is an abundant number, since it is smaller than the sum of its proper divisors (13114953489).

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

13002384784 is an frugal number, since it uses more digits than its factorization.

13002384784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 13002384784 in words is "thirteen billion, two million, three hundred eighty-four thousand, seven hundred eighty-four".