14854549560480 has 1152 divisors, whose sum is σ = 64630553702400. Its totient is φ = 3112746485760.

The previous prime is 14854549560281. The next prime is 14854549560497. The reversal of 14854549560480 is 8406594545841.

14854549560480 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 4 + 5 + 4 + 95 + 60 + 480 = 666.

It is a super-3 number, since 3×14854549560480³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 552138709 + ... + 552165611.

It is an arithmetic number, because the mean of its divisors is an integer number (56102911200).

Almost surely, 2^{14854549560480} is an apocalyptic number.

14854549560480 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 14854549560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32315276851200).

14854549560480 is an abundant number, since it is smaller than the sum of its proper divisors (49776004141920).

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

14854549560480 is a wasteful number, since it uses less digits than its factorization.

14854549560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27015 (or 26970 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 14854549560480 in words is "fourteen trillion, eight hundred fifty-four billion, five hundred forty-nine million, five hundred sixty thousand, four hundred eighty".