14454564540 has 192 divisors, whose sum is σ = 45638208000. Its totient is φ = 3393524736.

The previous prime is 14454564539. The next prime is 14454564577. The reversal of 14454564540 is 4546545441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14454564492 and 14454564501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1873611 + ... + 1881309.

It is an arithmetic number, because the mean of its divisors is an integer number (237699000).

Almost surely, 2^14454564540 is an apocalyptic number.

14454564540 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 14454564540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819104000).

14454564540 is an abundant number, since it is smaller than the sum of its proper divisors (31183643460).

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

14454564540 is a wasteful number, since it uses less digits than its factorization.

14454564540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836 (or 7834 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 14454564540 in words is "fourteen billion, four hundred fifty-four million, five hundred sixty-four thousand, five hundred forty".