12651869384784 has 960 divisors, whose sum is σ = 45445091328000. Its totient is φ = 3352584453120.

The previous prime is 12651869384771. The next prime is 12651869384809. The reversal of 12651869384784 is 48748396815621.

12651869384784 is a `hidden beast` number, since 1 + 2 + 6 + 518 + 6 + 9 + 38 + 4 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 2645172057 + ... + 2645176839.

It is an arithmetic number, because the mean of its divisors is an integer number (47338636800).

Almost surely, 2^{12651869384784} is an apocalyptic number.

12651869384784 is a gapful number since it is divisible by the number (14) 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 12651869384784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22722545664000).

12651869384784 is an abundant number, since it is smaller than the sum of its proper divisors (32793221943216).

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

12651869384784 is a wasteful number, since it uses less digits than its factorization.

12651869384784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 4994 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 12651869384784 in words is "twelve trillion, six hundred fifty-one billion, eight hundred sixty-nine million, three hundred eighty-four thousand, seven hundred eighty-four".