13412344204224 has 168 divisors, whose sum is σ = 43955465596640. Its totient is φ = 3830406838272.

The previous prime is 13412344204139. The next prime is 13412344204241. The reversal of 13412344204224 is 42240244321431.

13412344204224 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 3 + 4 + 420 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×13412344204224² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8415582 + ... + 9881634.

Almost surely, 2^{13412344204224} is an apocalyptic number.

13412344204224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412344204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21977732798320).

13412344204224 is an abundant number, since it is smaller than the sum of its proper divisors (30543121392416).

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

13412344204224 is a wasteful number, since it uses less digits than its factorization.

13412344204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468347 (or 1468334 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 13412344204224 its reverse (42240244321431), we get a palindrome (55652588525655).

The spelling of 13412344204224 in words is "thirteen trillion, four hundred twelve billion, three hundred forty-four million, two hundred four thousand, two hundred twenty-four".