14656280064 has 160 divisors (see below), whose sum is σ = 40870241280. Its totient is φ = 4658429952.

The previous prime is 14656280029. The next prime is 14656280077. The reversal of 14656280064 is 46008265641.

It is a junction number, because it is equal to n+sod(n) for n = 14656279998 and 14656280025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20383897 + ... + 20384615.

It is an arithmetic number, because the mean of its divisors is an integer number (255439008).

Almost surely, 2^14656280064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14656280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20435120640).

14656280064 is an abundant number, since it is smaller than the sum of its proper divisors (26213961216).

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

14656280064 is an equidigital number, since it uses as much as digits as its factorization.

14656280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14656280064 in words is "fourteen billion, six hundred fifty-six million, two hundred eighty thousand, sixty-four".