314814048 has 48 divisors (see below), whose sum is σ = 827411760. Its totient is φ = 104807936.

The previous prime is 314814043. The next prime is 314814067. The reversal of 314814048 is 840418413.

314814048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 17743²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314814043) by changing a digit.

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, 104986 + ... + 107942.

It is an arithmetic number, because the mean of its divisors is an integer number (17237745).

Almost surely, 2^314814048 is an apocalyptic number.

It is an amenable number.

314814048 is an abundant number, since it is smaller than the sum of its proper divisors (512597712).

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

314814048 is a wasteful number, since it uses less digits than its factorization.

314814048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 314814048 is about 17742.9999718199. Note that the first 4 decimals coincide. The cubic root of 314814048 is about 680.2752979885.

The spelling of 314814048 in words is "three hundred fourteen million, eight hundred fourteen thousand, forty-eight".