12357332064 has 288 divisors, whose sum is σ = 44471621376. Its totient is φ = 3161410560.

The previous prime is 12357332047. The next prime is 12357332089. The reversal of 12357332064 is 46023375321.

12357332064 is a `hidden beast` number, since 1 + 2 + 3 + 573 + 3 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1481634 + ... + 1489950.

It is an arithmetic number, because the mean of its divisors is an integer number (154415352).

Almost surely, 2^12357332064 is an apocalyptic number.

12357332064 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 12357332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22235810688).

12357332064 is an abundant number, since it is smaller than the sum of its proper divisors (32114289312).

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

12357332064 is a wasteful number, since it uses less digits than its factorization.

12357332064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 12357332064 in words is "twelve billion, three hundred fifty-seven million, three hundred thirty-two thousand, sixty-four".