14324212135296 has 288 divisors, whose sum is σ = 48190100634000. Its totient is φ = 4072062855168.

The previous prime is 14324212135273. The next prime is 14324212135369. The reversal of 14324212135296 is 69253121242341.

14324212135296 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 421 + 2 + 135 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14324212135296² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10595566 + ... + 11870738.

Almost surely, 2^{14324212135296} is an apocalyptic number.

14324212135296 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 14324212135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095050317000).

14324212135296 is an abundant number, since it is smaller than the sum of its proper divisors (33865888498704).

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

14324212135296 is a wasteful number, since it uses less digits than its factorization.

14324212135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275406 (or 1275384 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 14324212135296 in words is "fourteen trillion, three hundred twenty-four billion, two hundred twelve million, one hundred thirty-five thousand, two hundred ninety-six".