12830692333056 has 640 divisors, whose sum is σ = 38372895644160. Its totient is φ = 3784412233728.

The previous prime is 12830692333049. The next prime is 12830692333097. The reversal of 12830692333056 is 65033329603821.

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, 17362235535 + ... + 17362236273.

It is an arithmetic number, because the mean of its divisors is an integer number (59957649444).

Almost surely, 2^{12830692333056} is an apocalyptic number.

12830692333056 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 12830692333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186447822080).

12830692333056 is an abundant number, since it is smaller than the sum of its proper divisors (25542203311104).

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

12830692333056 is a wasteful number, since it uses less digits than its factorization.

12830692333056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 12830692333056 in words is "twelve trillion, eight hundred thirty billion, six hundred ninety-two million, three hundred thirty-three thousand, fifty-six".