12834724796096 has 336 divisors, whose sum is σ = 30287084155200. Its totient is φ = 5379539558400.

The previous prime is 12834724796071. The next prime is 12834724796099. The reversal of 12834724796096 is 69069742743821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12834724796099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25215569090 + ... + 25215569598.

Almost surely, 2^{12834724796096} is an apocalyptic number.

12834724796096 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 12834724796096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143542077600).

12834724796096 is an abundant number, since it is smaller than the sum of its proper divisors (17452359359104).

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

12834724796096 is a wasteful number, since it uses less digits than its factorization.

12834724796096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 68.

The spelling of 12834724796096 in words is "twelve trillion, eight hundred thirty-four billion, seven hundred twenty-four million, seven hundred ninety-six thousand, ninety-six".