14454984960 has 432 divisors, whose sum is σ = 54211981824. Its totient is φ = 3534962688.

The previous prime is 14454984949. The next prime is 14454985001. The reversal of 14454984960 is 6948945441.

14454984960 is a `hidden beast` number, since 1 + 4 + 4 + 549 + 8 + 4 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14454984897 and 14454984906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39386697 + ... + 39387063.

Almost surely, 2^14454984960 is an apocalyptic number.

14454984960 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 14454984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27105990912).

14454984960 is an abundant number, since it is smaller than the sum of its proper divisors (39756996864).

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

14454984960 is a wasteful number, since it uses less digits than its factorization.

14454984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14454984960 in words is "fourteen billion, four hundred fifty-four million, nine hundred eighty-four thousand, nine hundred sixty".