14518848960 has 1008 divisors, whose sum is σ = 65046758400. Its totient is φ = 2937876480.

The previous prime is 14518848931. The next prime is 14518848961. The reversal of 14518848960 is 6984881541.

It is a happy number.

14518848960 is a `hidden beast` number, since 145 + 18 + 8 + 489 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 14518848897 and 14518848906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14518848961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72958941 + ... + 72959139.

Almost surely, 2^14518848960 is an apocalyptic number.

14518848960 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 14518848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32523379200).

14518848960 is an abundant number, since it is smaller than the sum of its proper divisors (50527909440).

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

14518848960 is a wasteful number, since it uses less digits than its factorization.

14518848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 14518848960 in words is "fourteen billion, five hundred eighteen million, eight hundred forty-eight thousand, nine hundred sixty".