12982529664 has 384 divisors, whose sum is σ = 42279881280. Its totient is φ = 3941498880.

The previous prime is 12982529657. The next prime is 12982529669. The reversal of 12982529664 is 46692528921.

12982529664 is a `hidden beast` number, since 1 + 298 + 2 + 5 + 296 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12982529664.

It is not an unprimeable number, because it can be changed into a prime (12982529669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39221979 + ... + 39222309.

Almost surely, 2^12982529664 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 12982529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139940640).

12982529664 is an abundant number, since it is smaller than the sum of its proper divisors (29297351616).

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

12982529664 is an equidigital number, since it uses as much as digits as its factorization.

12982529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 446 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 12982529664 in words is "twelve billion, nine hundred eighty-two million, five hundred twenty-nine thousand, six hundred sixty-four".