13344058314304 has 63 divisors (see below), whose sum is σ = 27682353707953. Its totient is φ = 6381619473152.

The previous prime is 13344058314283. The next prime is 13344058314329. The reversal of 13344058314304 is 40341385044331.

The square root of 13344058314304 is 3652952.

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., 2164076366400 + 11179981947904 = 1471080^2 + 3343648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 672133242 + ... + 672153094.

Almost surely, 2^{13344058314304} is an apocalyptic number.

13344058314304 is the 3652952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13344058314304

13344058314304 is an abundant number, since it is smaller than the sum of its proper divisors (14338295393649).

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

13344058314304 is an frugal number, since it uses more digits than its factorization.

13344058314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39764 (or 19878 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 13344058314304 in words is "thirteen trillion, three hundred forty-four billion, fifty-eight million, three hundred fourteen thousand, three hundred four".