13332323401344 has 48 divisors (see below), whose sum is σ = 38365149374370. Its totient is φ = 4444107800064.

The previous prime is 13332323401321. The next prime is 13332323401373. The reversal of 13332323401344 is 44310432323331.

13332323401344 is a `hidden beast` number, since 1 + 3 + 33 + 232 + 340 + 13 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8158518241344 + 5173805160000 = 2856312^2 + 2274600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13332323401299 and 13332323401308.

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 5 ways as a sum of consecutive naturals, for example, 5786597547 + ... + 5786599850.

Almost surely, 2^{13332323401344} is an apocalyptic number.

It is an amenable number.

13332323401344 is an abundant number, since it is smaller than the sum of its proper divisors (25032825973026).

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

13332323401344 is a wasteful number, since it uses less digits than its factorization.

13332323401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11573197417 (or 11573197402 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 13332323401344 its reverse (44310432323331), we get a palindrome (57642755724675).

The spelling of 13332323401344 in words is "thirteen trillion, three hundred thirty-two billion, three hundred twenty-three million, four hundred one thousand, three hundred forty-four".