14314704000 has 128 divisors (see below), whose sum is σ = 47453402880. Its totient is φ = 3817241600.

The previous prime is 14314703971. The next prime is 14314704017. The reversal of 14314704000 is 40741341.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 101112 + ... + 197111.

It is an arithmetic number, because the mean of its divisors is an integer number (370729710).

Almost surely, 2^14314704000 is an apocalyptic number.

14314704000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314704000 is an abundant number, since it is smaller than the sum of its proper divisors (33138698880).

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

14314704000 is an equidigital number, since it uses as much as digits as its factorization.

14314704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298255 (or 298233 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 14314704000 in words is "fourteen billion, three hundred fourteen million, seven hundred four thousand".