13424209638336 has 448 divisors, whose sum is σ = 45471283200000. Its totient is φ = 3804246466560.

The previous prime is 13424209638311. The next prime is 13424209638361. The reversal of 13424209638336 is 63383690242431.

13424209638336 is a `hidden beast` number, since 1 + 3 + 4 + 24 + 209 + 6 + 383 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (13424209638311) and next prime (13424209638361).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806298940 + ... + 806315588.

It is an arithmetic number, because the mean of its divisors is an integer number (101498400000).

Almost surely, 2^{13424209638336} is an apocalyptic number.

13424209638336 is a gapful number since it is divisible by the number (16) 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 13424209638336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22735641600000).

13424209638336 is an abundant number, since it is smaller than the sum of its proper divisors (32047073561664).

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

13424209638336 is a wasteful number, since it uses less digits than its factorization.

13424209638336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 13424209638336 in words is "thirteen trillion, four hundred twenty-four billion, two hundred nine million, six hundred thirty-eight thousand, three hundred thirty-six".