12784498320384 has 352 divisors, whose sum is σ = 44439776533760. Its totient is φ = 3553989820416.

The previous prime is 12784498320353. The next prime is 12784498320397. The reversal of 12784498320384 is 48302389448721.

It is a happy number.

12784498320384 is a `hidden beast` number, since 1 + 2 + 7 + 84 + 498 + 32 + 0 + 38 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 6268164 + ... + 8053500.

Almost surely, 2^{12784498320384} is an apocalyptic number.

12784498320384 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 12784498320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219888266880).

12784498320384 is an abundant number, since it is smaller than the sum of its proper divisors (31655278213376).

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

12784498320384 is a wasteful number, since it uses less digits than its factorization.

12784498320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785410 (or 1785386 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 12784498320384 in words is "twelve trillion, seven hundred eighty-four billion, four hundred ninety-eight million, three hundred twenty thousand, three hundred eighty-four".