14457433216 has 64 divisors (see below), whose sum is σ = 30536352000. Its totient is φ = 6794530816.

The previous prime is 14457433201. The next prime is 14457433223. The reversal of 14457433216 is 61233475441.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1821705 + ... + 1829623.

It is an arithmetic number, because the mean of its divisors is an integer number (477130500).

Almost surely, 2^14457433216 is an apocalyptic number.

14457433216 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 14457433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268176000).

14457433216 is an abundant number, since it is smaller than the sum of its proper divisors (16078918784).

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

14457433216 is an equidigital number, since it uses as much as digits as its factorization.

14457433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8777 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The spelling of 14457433216 in words is "fourteen billion, four hundred fifty-seven million, four hundred thirty-three thousand, two hundred sixteen".