12333042544608 has 192 divisors, whose sum is σ = 36673020578880. Its totient is φ = 4030923147264.

The previous prime is 12333042544607. The next prime is 12333042544609. The reversal of 12333042544608 is 80644524033321.

12333042544608 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 0 + 42 + 544 + 60 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12333042544607) and next prime (12333042544609).

It is a super-3 number, since 3×12333042544608³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333042544601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73779010 + ... + 73945982.

It is an arithmetic number, because the mean of its divisors is an integer number (191005315515).

Almost surely, 2^{12333042544608} is an apocalyptic number.

12333042544608 is a gapful number since it is divisible by the number (18) 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 12333042544608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18336510289440).

12333042544608 is an abundant number, since it is smaller than the sum of its proper divisors (24339978034272).

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

12333042544608 is a wasteful number, since it uses less digits than its factorization.

12333042544608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168658 (or 168644 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 12333042544608 its reverse (80644524033321), we get a palindrome (92977566577929).

The spelling of 12333042544608 in words is "twelve trillion, three hundred thirty-three billion, forty-two million, five hundred forty-four thousand, six hundred eight".