12851823688704 has 2640 divisors, whose sum is σ = 53086655635200. Its totient is φ = 3081356328960.

The previous prime is 12851823688687. The next prime is 12851823688723. The reversal of 12851823688704 is 40788632815821.

12851823688704 is a `hidden beast` number, since 1 + 2 + 8 + 518 + 2 + 36 + 8 + 87 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 988601822202 + ... + 988601822214.

It is an arithmetic number, because the mean of its divisors is an integer number (20108581680).

Almost surely, 2^{12851823688704} is an apocalyptic number.

12851823688704 is a gapful number since it is divisible by the number (14) 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 12851823688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26543327817600).

12851823688704 is an abundant number, since it is smaller than the sum of its proper divisors (40234831946496).

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

12851823688704 is an frugal number, since it uses more digits than its factorization.

12851823688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 12851823688704 in words is "twelve trillion, eight hundred fifty-one billion, eight hundred twenty-three million, six hundred eighty-eight thousand, seven hundred four".