14433121164 has 192 divisors, whose sum is σ = 44319744000. Its totient is φ = 3541708800.

The previous prime is 14433121141. The next prime is 14433121169. The reversal of 14433121164 is 46112133441.

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

It is not an unprimeable number, because it can be changed into a prime (14433121169) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7881729 + ... + 7883559.

It is an arithmetic number, because the mean of its divisors is an integer number (230832000).

Almost surely, 2^14433121164 is an apocalyptic number.

14433121164 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 14433121164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22159872000).

14433121164 is an abundant number, since it is smaller than the sum of its proper divisors (29886622836).

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

14433121164 is a wasteful number, since it uses less digits than its factorization.

14433121164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2322 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The spelling of 14433121164 in words is "fourteen billion, four hundred thirty-three million, one hundred twenty-one thousand, one hundred sixty-four".