12984971328 has 448 divisors, whose sum is σ = 45788275200. Its totient is φ = 3574222848.

The previous prime is 12984971269. The next prime is 12984971347. The reversal of 12984971328 is 82317948921.

12984971328 is a `hidden beast` number, since 12 + 9 + 8 + 497 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28413276 + ... + 28413732.

Almost surely, 2^12984971328 is an apocalyptic number.

12984971328 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 12984971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22894137600).

12984971328 is an abundant number, since it is smaller than the sum of its proper divisors (32803303872).

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

12984971328 is an frugal number, since it uses more digits than its factorization.

12984971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 498 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 12984971328 in words is "twelve billion, nine hundred eighty-four million, nine hundred seventy-one thousand, three hundred twenty-eight".