14288960214816 has 96 divisors (see below), whose sum is σ = 42887764902528. Its totient is φ = 4080571084800.

The previous prime is 14288960214703. The next prime is 14288960214833. The reversal of 14288960214816 is 61841206988241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14288960214816.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3798985 + ... + 6558216.

It is an arithmetic number, because the mean of its divisors is an integer number (446747551068).

Almost surely, 2^{14288960214816} is an apocalyptic number.

14288960214816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14288960214816 is an abundant number, since it is smaller than the sum of its proper divisors (28598804687712).

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

14288960214816 is a wasteful number, since it uses less digits than its factorization.

14288960214816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359274 (or 10359266 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 14288960214816 in words is "fourteen trillion, two hundred eighty-eight billion, nine hundred sixty million, two hundred fourteen thousand, eight hundred sixteen".