12984385536 has 180 divisors, whose sum is σ = 38824426872. Its totient is φ = 4324589568.

The previous prime is 12984385517. The next prime is 12984385567. The reversal of 12984385536 is 63558348921.

12984385536 is a `hidden beast` number, since 1 + 2 + 9 + 84 + 3 + 8 + 553 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10616221 + ... + 10617443.

Almost surely, 2^12984385536 is an apocalyptic number.

12984385536 is a gapful number since it is divisible by the number (16) 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 12984385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412213436).

12984385536 is an abundant number, since it is smaller than the sum of its proper divisors (25840041336).

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

12984385536 is an frugal number, since it uses more digits than its factorization.

12984385536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1228 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

It can be divided in two parts, 1298 and 4385536, that added together give a palindrome (4386834).

The spelling of 12984385536 in words is "twelve billion, nine hundred eighty-four million, three hundred eighty-five thousand, five hundred thirty-six".