12820314086748 has 144 divisors (see below), whose sum is σ = 37591975249920. Its totient is φ = 3608014050432.

The previous prime is 12820314086731. The next prime is 12820314086771. The reversal of 12820314086748 is 84768041302821.

12820314086748 is a `hidden beast` number, since 1 + 28 + 203 + 1 + 408 + 6 + 7 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12820314086694 and 12820314086703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452696533 + ... + 452724851.

It is an arithmetic number, because the mean of its divisors is an integer number (261055383680).

Almost surely, 2^{12820314086748} is an apocalyptic number.

12820314086748 is a gapful number since it is divisible by the number (18) 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 12820314086748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795987624960).

12820314086748 is an abundant number, since it is smaller than the sum of its proper divisors (24771661163172).

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

12820314086748 is a wasteful number, since it uses less digits than its factorization.

12820314086748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55216 (or 55211 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 12820314086748 in words is "twelve trillion, eight hundred twenty billion, three hundred fourteen million, eighty-six thousand, seven hundred forty-eight".