14553944960 has 64 divisors (see below), whose sum is σ = 35043548400. Its totient is φ = 5779660800.

The previous prime is 14553944903. The next prime is 14553944969. The reversal of 14553944960 is 6944935541.

14553944960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14553944899 and 14553944908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14553944969) 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 7 ways as a sum of consecutive naturals, for example, 7160 + ... + 170760.

Almost surely, 2^14553944960 is an apocalyptic number.

14553944960 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 14553944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521774200).

14553944960 is an abundant number, since it is smaller than the sum of its proper divisors (20489603440).

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

14553944960 is a wasteful number, since it uses less digits than its factorization.

14553944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163759 (or 163747 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 14553944960 in words is "fourteen billion, five hundred fifty-three million, nine hundred forty-four thousand, nine hundred sixty".