14493976560 has 360 divisors, whose sum is σ = 57833994816. Its totient is φ = 3242050560.

The previous prime is 14493976507. The next prime is 14493976577. The reversal of 14493976560 is 6567939441.

14493976560 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 3 + 9 + 76 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 14493976497 and 14493976506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1653790 + ... + 1662530.

Almost surely, 2^14493976560 is an apocalyptic number.

14493976560 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 14493976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28916997408).

14493976560 is an abundant number, since it is smaller than the sum of its proper divisors (43340018256).

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

14493976560 is a wasteful number, since it uses less digits than its factorization.

14493976560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8821 (or 8805 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 14493976560 in words is "fourteen billion, four hundred ninety-three million, nine hundred seventy-six thousand, five hundred sixty".