12808714464 has 864 divisors, whose sum is σ = 50929572960. Its totient is φ = 3093479424.

The previous prime is 12808714417. The next prime is 12808714487. The reversal of 12808714464 is 46441780821.

12808714464 is a `hidden beast` number, since 128 + 0 + 87 + 1 + 446 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346181454 + ... + 346181490.

It is an arithmetic number, because the mean of its divisors is an integer number (58946265).

Almost surely, 2^12808714464 is an apocalyptic number.

12808714464 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 12808714464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25464786480).

12808714464 is an abundant number, since it is smaller than the sum of its proper divisors (38120858496).

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

12808714464 is a wasteful number, since it uses less digits than its factorization.

12808714464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12808714464 in words is "twelve billion, eight hundred eight million, seven hundred fourteen thousand, four hundred sixty-four".