12817503864 has 144 divisors (see below), whose sum is σ = 38403925560. Its totient is φ = 3858940800.

The previous prime is 12817503863. The next prime is 12817503869. The reversal of 12817503864 is 46830571821.

12817503864 is a `hidden beast` number, since 1 + 2 + 81 + 7 + 503 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12817503863) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1363099 + ... + 1372469.

Almost surely, 2^12817503864 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 12817503864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201962780).

12817503864 is an abundant number, since it is smaller than the sum of its proper divisors (25586421696).

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

12817503864 is a wasteful number, since it uses less digits than its factorization.

12817503864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12817503864 in words is "twelve billion, eight hundred seventeen million, five hundred three thousand, eight hundred sixty-four".