14664612321312 has 96 divisors (see below), whose sum is σ = 38530575720000. Its totient is φ = 4883638729728.

The previous prime is 14664612321283. The next prime is 14664612321329. The reversal of 14664612321312 is 21312321646641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×14664612321312³ (a number of 40 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 549861514 + ... + 549888182.

It is an arithmetic number, because the mean of its divisors is an integer number (401360163750).

Almost surely, 2^{14664612321312} is an apocalyptic number.

14664612321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14664612321312 is an abundant number, since it is smaller than the sum of its proper divisors (23865963398688).

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

14664612321312 is a wasteful number, since it uses less digits than its factorization.

14664612321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31818 (or 31810 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

Adding to 14664612321312 its reverse (21312321646641), we get a palindrome (35976933967953).

The spelling of 14664612321312 in words is "fourteen trillion, six hundred sixty-four billion, six hundred twelve million, three hundred twenty-one thousand, three hundred twelve".