12909582336 has 288 divisors, whose sum is σ = 40457355120. Its totient is φ = 3649830912.

The previous prime is 12909582307. The next prime is 12909582337. The reversal of 12909582336 is 63328590921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12909582337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41244516 + ... + 41244828.

Almost surely, 2^12909582336 is an apocalyptic number.

12909582336 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 12909582336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20228677560).

12909582336 is an abundant number, since it is smaller than the sum of its proper divisors (27547772784).

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

12909582336 is a wasteful number, since it uses less digits than its factorization.

12909582336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 12909582336 in words is "twelve billion, nine hundred nine million, five hundred eighty-two thousand, three hundred thirty-six".