12333509064 has 160 divisors (see below), whose sum is σ = 37618416000. Its totient is φ = 3760380288.

The previous prime is 12333509039. The next prime is 12333509077. The reversal of 12333509064 is 46090533321.

It is a happy number.

12333509064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339777 + ... + 374319.

It is an arithmetic number, because the mean of its divisors is an integer number (235115100).

Almost surely, 2^12333509064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333509064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18809208000).

12333509064 is an abundant number, since it is smaller than the sum of its proper divisors (25284906936).

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

12333509064 is a wasteful number, since it uses less digits than its factorization.

12333509064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34609 (or 34596 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 12333509064 in words is "twelve billion, three hundred thirty-three million, five hundred nine thousand, sixty-four".