12928335432768 has 252 divisors, whose sum is σ = 42742819304640. Its totient is φ = 3659908396032.

The previous prime is 12928335432743. The next prime is 12928335432841. The reversal of 12928335432768 is 86723453382921.

12928335432768 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 8 + 3 + 3 + 543 + 27 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47769253 + ... + 48039131.

It is an arithmetic number, because the mean of its divisors is an integer number (169614362320).

Almost surely, 2^{12928335432768} is an apocalyptic number.

12928335432768 is a gapful number since it is divisible by the number (18) 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 12928335432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21371409652320).

12928335432768 is an abundant number, since it is smaller than the sum of its proper divisors (29814483871872).

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

12928335432768 is a wasteful number, since it uses less digits than its factorization.

12928335432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270122 (or 270000 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 12928335432768 in words is "twelve trillion, nine hundred twenty-eight billion, three hundred thirty-five million, four hundred thirty-two thousand, seven hundred sixty-eight".