14278048000 has 72 divisors (see below), whose sum is σ = 35568482040. Its totient is φ = 5711206400.

The previous prime is 14278047989. The next prime is 14278048013. The reversal of 14278048000 is 84087241.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 14277382144 = 816^2 + 119488^2 .

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 7 ways as a sum of consecutive naturals, for example, 191095 + ... + 255094.

It is an arithmetic number, because the mean of its divisors is an integer number (494006695).

Almost surely, 2^14278048000 is an apocalyptic number.

14278048000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14278048000 is an abundant number, since it is smaller than the sum of its proper divisors (21290434040).

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

14278048000 is an frugal number, since it uses more digits than its factorization.

14278048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446220 (or 446196 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The spelling of 14278048000 in words is "fourteen billion, two hundred seventy-eight million, forty-eight thousand".