1278768048384 has 72 divisors (see below), whose sum is σ = 3403768465440. Its totient is φ = 426208350208.

The previous prime is 1278768048373. The next prime is 1278768048403. The reversal of 1278768048384 is 4838408678721.

It is a super-4 number, since 4×1278768048384⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 7145404 + ... + 7322180.

It is an arithmetic number, because the mean of its divisors is an integer number (47274562020).

Almost surely, 2^{1278768048384} is an apocalyptic number.

It is an amenable number.

1278768048384 is an abundant number, since it is smaller than the sum of its proper divisors (2125000417056).

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

1278768048384 is an equidigital number, since it uses as much as digits as its factorization.

1278768048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186215 (or 186201 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 1278768048384 in words is "one trillion, two hundred seventy-eight billion, seven hundred sixty-eight million, forty-eight thousand, three hundred eighty-four".