12332138467264 has 224 divisors, whose sum is σ = 30824925530112. Its totient is φ = 4755179520000.

The previous prime is 12332138467223. The next prime is 12332138467277. The reversal of 12332138467264 is 46276483123321.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1902810904 + ... + 1902817384.

It is an arithmetic number, because the mean of its divisors is an integer number (137611274688).

Almost surely, 2^{12332138467264} is an apocalyptic number.

12332138467264 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 12332138467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15412462765056).

12332138467264 is an abundant number, since it is smaller than the sum of its proper divisors (18492787062848).

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

12332138467264 is a wasteful number, since it uses less digits than its factorization.

12332138467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10435 (or 10425 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 52.

The spelling of 12332138467264 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-eight million, four hundred sixty-seven thousand, two hundred sixty-four".