14454848640 has 256 divisors, whose sum is σ = 49633689600. Its totient is φ = 3567759360.

The previous prime is 14454848599. The next prime is 14454848647. The reversal of 14454848640 is 4684845441.

14454848640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14454848640.

It is not an unprimeable number, because it can be changed into a prime (14454848647) 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, 1363681 + ... + 1374239.

It is an arithmetic number, because the mean of its divisors is an integer number (193881600).

Almost surely, 2^14454848640 is an apocalyptic number.

14454848640 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 14454848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816844800).

14454848640 is an abundant number, since it is smaller than the sum of its proper divisors (35178840960).

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

14454848640 is a wasteful number, since it uses less digits than its factorization.

14454848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10635 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 14454848640 in words is "fourteen billion, four hundred fifty-four million, eight hundred forty-eight thousand, six hundred forty".