14468736859680 has 96 divisors (see below), whose sum is σ = 45597212829504. Its totient is φ = 3856578149376.

The previous prime is 14468736859663. The next prime is 14468736859727. The reversal of 14468736859680 is 8695863786441.

14468736859680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 5783959 + ... + 7898838.

It is an arithmetic number, because the mean of its divisors is an integer number (474970966974).

Almost surely, 2^{14468736859680} is an apocalyptic number.

14468736859680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14468736859680 is an abundant number, since it is smaller than the sum of its proper divisors (31128475969824).

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

14468736859680 is a wasteful number, since it uses less digits than its factorization.

14468736859680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13685018 (or 13685010 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 75.

The spelling of 14468736859680 in words is "fourteen trillion, four hundred sixty-eight billion, seven hundred thirty-six million, eight hundred fifty-nine thousand, six hundred eighty".