13419368964 has 81 divisors (see below), whose sum is σ = 34805911413. Its totient is φ = 4359366144.

The previous prime is 13419368953. The next prime is 13419368981. The reversal of 13419368964 is 46986391431.

The square root of 13419368964 is 115842.

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

13419368964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8200751364 + 5218617600 = 90558^2 + 72240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13419368964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29887012 + ... + 29887460.

Almost surely, 2^13419368964 is an apocalyptic number.

13419368964 is the 115842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13419368964

13419368964 is an abundant number, since it is smaller than the sum of its proper divisors (21386542449).

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

13419368964 is an equidigital number, since it uses as much as digits as its factorization.

13419368964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 13419368964 in words is "thirteen billion, four hundred nineteen million, three hundred sixty-eight thousand, nine hundred sixty-four".