14488316864 has 84 divisors (see below), whose sum is σ = 33868095840. Its totient is φ = 6130575360.

The previous prime is 14488316863. The next prime is 14488316873. The reversal of 14488316864 is 46861388441.

14488316864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14488316864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14488316863) 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 11 ways as a sum of consecutive naturals, for example, 218504 + ... + 276984.

Almost surely, 2^14488316864 is an apocalyptic number.

14488316864 is a gapful number since it is divisible by the number (14) 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 14488316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934047920).

14488316864 is an abundant number, since it is smaller than the sum of its proper divisors (19379778976).

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

14488316864 is an equidigital number, since it uses as much as digits as its factorization.

14488316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58586 (or 58569 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 53.

The spelling of 14488316864 in words is "fourteen billion, four hundred eighty-eight million, three hundred sixteen thousand, eight hundred sixty-four".