12830091248568 has 384 divisors, whose sum is σ = 35975558868480. Its totient is φ = 3781130895360.

The previous prime is 12830091248519. The next prime is 12830091248573. The reversal of 12830091248568 is 86584219003821.

It is a super-2 number, since 2×12830091248568² (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 95 ways as a sum of consecutive naturals, for example, 65127366646 + ... + 65127366842.

It is an arithmetic number, because the mean of its divisors is an integer number (93686351220).

Almost surely, 2^{12830091248568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12830091248568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987779434240).

12830091248568 is an abundant number, since it is smaller than the sum of its proper divisors (23145467619912).

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

12830091248568 is a wasteful number, since it uses less digits than its factorization.

12830091248568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 12830091248568 in words is "twelve trillion, eight hundred thirty billion, ninety-one million, two hundred forty-eight thousand, five hundred sixty-eight".