14671467216 has 480 divisors, whose sum is σ = 50659614720. Its totient is φ = 3875558400.

The previous prime is 14671467157. The next prime is 14671467221. The reversal of 14671467216 is 61276417641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81963415 + ... + 81963593.

It is an arithmetic number, because the mean of its divisors is an integer number (105540864).

Almost surely, 2^14671467216 is an apocalyptic number.

14671467216 is a gapful number since it is divisible by the number (16) 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 14671467216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25329807360).

14671467216 is an abundant number, since it is smaller than the sum of its proper divisors (35988147504).

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

14671467216 is a wasteful number, since it uses less digits than its factorization.

14671467216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 14671467216 in words is "fourteen billion, six hundred seventy-one million, four hundred sixty-seven thousand, two hundred sixteen".