13332034322224 has 160 divisors (see below), whose sum is σ = 29345844067200. Its totient is φ = 5835471667200.

The previous prime is 13332034322197. The next prime is 13332034322227. The reversal of 13332034322224 is 42222343023331.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 13332034322224.

It is not an unprimeable number, because it can be changed into a prime (13332034322227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29251317 + ... + 29703595.

It is an arithmetic number, because the mean of its divisors is an integer number (183411525420).

Almost surely, 2^{13332034322224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332034322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14672922033600).

13332034322224 is an abundant number, since it is smaller than the sum of its proper divisors (16013809744976).

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

13332034322224 is a wasteful number, since it uses less digits than its factorization.

13332034322224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452471 (or 452465 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 13332034322224 its reverse (42222343023331), we get a palindrome (55554377345555).

The spelling of 13332034322224 in words is "thirteen trillion, three hundred thirty-two billion, thirty-four million, three hundred twenty-two thousand, two hundred twenty-four".