14486968320 has 384 divisors, whose sum is σ = 51788056320. Its totient is φ = 3426877440.

The previous prime is 14486968291. The next prime is 14486968337. The reversal of 14486968320 is 2386968441.

14486968320 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 (384).

It is a super-2 number, since 2×14486968320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 14530062 + ... + 14531058.

It is an arithmetic number, because the mean of its divisors is an integer number (134864730).

Almost surely, 2^14486968320 is an apocalyptic number.

14486968320 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 14486968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25894028160).

14486968320 is an abundant number, since it is smaller than the sum of its proper divisors (37301088000).

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

14486968320 is a wasteful number, since it uses less digits than its factorization.

14486968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 14486968320 in words is "fourteen billion, four hundred eighty-six million, nine hundred sixty-eight thousand, three hundred twenty".