12864533354496 has 288 divisors, whose sum is σ = 38808406990080. Its totient is φ = 4097733083136.

The previous prime is 12864533354447. The next prime is 12864533354527. The reversal of 12864533354496 is 69445333546821.

12864533354496 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 4 + 53 + 33 + 544 + 9 + 6 = 666.

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

It is a congruent number.

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, 450629695 + ... + 450658241.

It is an arithmetic number, because the mean of its divisors is an integer number (134751413160).

Almost surely, 2^{12864533354496} is an apocalyptic number.

12864533354496 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 12864533354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19404203495040).

12864533354496 is an abundant number, since it is smaller than the sum of its proper divisors (25943873635584).

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

12864533354496 is a wasteful number, since it uses less digits than its factorization.

12864533354496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29661 (or 29638 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 63.

The spelling of 12864533354496 in words is "twelve trillion, eight hundred sixty-four billion, five hundred thirty-three million, three hundred fifty-four thousand, four hundred ninety-six".