12434413833216 has 264 divisors, whose sum is σ = 37048429860624. Its totient is φ = 4014178959360.

The previous prime is 12434413833203. The next prime is 12434413833253. The reversal of 12434413833216 is 61233831443421.

12434413833216 is a `hidden beast` number, since 1 + 2 + 4 + 344 + 13 + 83 + 3 + 216 = 666.

It is a super-2 number, since 2×12434413833216² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51646171 + ... + 51886373.

Almost surely, 2^{12434413833216} is an apocalyptic number.

12434413833216 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 12434413833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18524214930312).

12434413833216 is an abundant number, since it is smaller than the sum of its proper divisors (24614016027408).

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

12434413833216 is a wasteful number, since it uses less digits than its factorization.

12434413833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240407 (or 240386 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 12434413833216 in words is "twelve trillion, four hundred thirty-four billion, four hundred thirteen million, eight hundred thirty-three thousand, two hundred sixteen".