12045659462496 has 1152 divisors, whose sum is σ = 40767342819840. Its totient is φ = 3466428825600.

The previous prime is 12045659462489. The next prime is 12045659462531. The reversal of 12045659462496 is 69426495654021.

12045659462496 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 56 + 5 + 94 + 6 + 2 + 496 = 666.

It is a congruent number.

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, 42564167571 + ... + 42564167853.

It is an arithmetic number, because the mean of its divisors is an integer number (35388318420).

Almost surely, 2^{12045659462496} is an apocalyptic number.

12045659462496 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 12045659462496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383671409920).

12045659462496 is an abundant number, since it is smaller than the sum of its proper divisors (28721683357344).

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

12045659462496 is a wasteful number, since it uses less digits than its factorization.

12045659462496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 12045659462496 in words is "twelve trillion, forty-five billion, six hundred fifty-nine million, four hundred sixty-two thousand, four hundred ninety-six".