1278014848 has 128 divisors (see below), whose sum is σ = 2974320000. Its totient is φ = 540549120.

The previous prime is 1278014821. The next prime is 1278014851. The reversal of 1278014848 is 8484108721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2560903 + ... + 2561401.

It is an arithmetic number, because the mean of its divisors is an integer number (23236875).

Almost surely, 2^1278014848 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 1278014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487160000).

1278014848 is an abundant number, since it is smaller than the sum of its proper divisors (1696305152).

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

1278014848 is a wasteful number, since it uses less digits than its factorization.

1278014848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 43.

The square root of 1278014848 is about 35749.3335322492. Note that the first 3 decimals coincide. The cubic root of 1278014848 is about 1085.2054508406.

The spelling of 1278014848 in words is "one billion, two hundred seventy-eight million, fourteen thousand, eight hundred forty-eight".