14467071072 has 192 divisors, whose sum is σ = 40493537280. Its totient is φ = 4514918400.

The previous prime is 14467071037. The next prime is 14467071121. The reversal of 14467071072 is 27017076441.

It is a super-2 number, since 2×14467071072² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14467071072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16959798 + ... + 16960650.

It is an arithmetic number, because the mean of its divisors is an integer number (210903840).

Almost surely, 2^14467071072 is an apocalyptic number.

14467071072 is a gapful number since it is divisible by the number (12) 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 14467071072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246768640).

14467071072 is an abundant number, since it is smaller than the sum of its proper divisors (26026466208).

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

14467071072 is a wasteful number, since it uses less digits than its factorization.

14467071072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 14467071072 in words is "fourteen billion, four hundred sixty-seven million, seventy-one thousand, seventy-two".