12338421984 has 192 divisors, whose sum is σ = 41743296000. Its totient is φ = 3472533504.

The previous prime is 12338421971. The next prime is 12338422007. The reversal of 12338421984 is 48912483321.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389992 + ... + 420440.

It is an arithmetic number, because the mean of its divisors is an integer number (217413000).

Almost surely, 2^12338421984 is an apocalyptic number.

12338421984 is a gapful number since it is divisible by the number (14) 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 12338421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871648000).

12338421984 is an abundant number, since it is smaller than the sum of its proper divisors (29404874016).

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

12338421984 is a wasteful number, since it uses less digits than its factorization.

12338421984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30542 (or 30528 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 12338421984 in words is "twelve billion, three hundred thirty-eight million, four hundred twenty-one thousand, nine hundred eighty-four".