12864145183200 has 1080 divisors, whose sum is σ = 50146034510880. Its totient is φ = 3208290508800.

The previous prime is 12864145183157. The next prime is 12864145183217. The reversal of 12864145183200 is 238154146821.

12864145183200 is a `hidden beast` number, since 1 + 2 + 86 + 41 + 451 + 83 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1848027720 + ... + 1848034680.

It is an arithmetic number, because the mean of its divisors is an integer number (46431513436).

Almost surely, 2^{12864145183200} is an apocalyptic number.

12864145183200 is a gapful number since it is divisible by the number (10) 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 12864145183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25073017255440).

12864145183200 is an abundant number, since it is smaller than the sum of its proper divisors (37281889327680).

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

12864145183200 is a wasteful number, since it uses less digits than its factorization.

12864145183200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12864145183200 in words is "twelve trillion, eight hundred sixty-four billion, one hundred forty-five million, one hundred eighty-three thousand, two hundred".