12045032064 has 192 divisors, whose sum is σ = 39292562400. Its totient is φ = 3511019520.

The previous prime is 12045032039. The next prime is 12045032101. The reversal of 12045032064 is 46023054021.

12045032064 is a `hidden beast` number, since 1 + 2 + 0 + 450 + 3 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263379 + ... + 305709.

Almost surely, 2^12045032064 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 12045032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19646281200).

12045032064 is an abundant number, since it is smaller than the sum of its proper divisors (27247530336).

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

12045032064 is a wasteful number, since it uses less digits than its factorization.

12045032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42383 (or 42368 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12045032064 its reverse (46023054021), we get a palindrome (58068086085).

The spelling of 12045032064 in words is "twelve billion, forty-five million, thirty-two thousand, sixty-four".