14868257564160 has 3840 divisors, whose sum is σ = 73260261043200. Its totient is φ = 2844328919040.

The previous prime is 14868257564131. The next prime is 14868257564183. The reversal of 14868257564160 is 6146575286841.

14868257564160 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 8 + 2 + 5 + 7 + 564 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39230230851 + ... + 39230231229.

It is an arithmetic number, because the mean of its divisors is an integer number (19078192980).

Almost surely, 2^{14868257564160} is an apocalyptic number.

14868257564160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14868257564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36630130521600).

14868257564160 is an abundant number, since it is smaller than the sum of its proper divisors (58392003479040).

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

14868257564160 is an equidigital number, since it uses as much as digits as its factorization.

14868257564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 14868257564160 in words is "fourteen trillion, eight hundred sixty-eight billion, two hundred fifty-seven million, five hundred sixty-four thousand, one hundred sixty".