14681507272960 has 288 divisors, whose sum is σ = 40708892214144. Its totient is φ = 5013749760000.

The previous prime is 14681507272951. The next prime is 14681507272961. The reversal of 14681507272960 is 6927270518641.

It is a junction number, because it is equal to n+sod(n) for n = 14681507272895 and 14681507272904.

It is not an unprimeable number, because it can be changed into a prime (14681507272961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 110278435 + ... + 110411485.

It is an arithmetic number, because the mean of its divisors is an integer number (141350320188).

Almost surely, 2^{14681507272960} is an apocalyptic number.

14681507272960 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 14681507272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354446107072).

14681507272960 is an abundant number, since it is smaller than the sum of its proper divisors (26027384941184).

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

14681507272960 is a wasteful number, since it uses less digits than its factorization.

14681507272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133561 (or 133547 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 14681507272960 in words is "fourteen trillion, six hundred eighty-one billion, five hundred seven million, two hundred seventy-two thousand, nine hundred sixty".