1284712648704 has 624 divisors, whose sum is σ = 3967096573440. Its totient is φ = 415264112640.

The previous prime is 1284712648697. The next prime is 1284712648771. The reversal of 1284712648704 is 4078462174821.

It is a happy number.

1284712648704 is a `hidden beast` number, since 12 + 84 + 71 + 2 + 6 + 487 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7692890029 + ... + 7692890195.

It is an arithmetic number, because the mean of its divisors is an integer number (6357526560).

Almost surely, 2^{1284712648704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1284712648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983548286720).

1284712648704 is an abundant number, since it is smaller than the sum of its proper divisors (2682383924736).

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

1284712648704 is an equidigital number, since it uses as much as digits as its factorization.

1284712648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 1284712648704 in words is "one trillion, two hundred eighty-four billion, seven hundred twelve million, six hundred forty-eight thousand, seven hundred four".