12332818705536 has 1536 divisors, whose sum is σ = 45767808000000. Its totient is φ = 3290448365568.

The previous prime is 12332818705523. The next prime is 12332818705567. The reversal of 12332818705536 is 63550781823321.

12332818705536 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 2 + 8 + 1 + 87 + 0 + 553 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20589012565 + ... + 20589013163.

It is an arithmetic number, because the mean of its divisors is an integer number (29796750000).

Almost surely, 2^{12332818705536} is an apocalyptic number.

12332818705536 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 12332818705536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22883904000000).

12332818705536 is an abundant number, since it is smaller than the sum of its proper divisors (33434989294464).

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

12332818705536 is an frugal number, since it uses more digits than its factorization.

12332818705536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12332818705536 in words is "twelve trillion, three hundred thirty-two billion, eight hundred eighteen million, seven hundred five thousand, five hundred thirty-six".