14432564016 has 160 divisors (see below), whose sum is σ = 44717137920. Its totient is φ = 4430474496.

The previous prime is 14432563991. The next prime is 14432564017. The reversal of 14432564016 is 61046523441.

14432564016 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 2 + 5 + 640 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14432564017) 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 31 ways as a sum of consecutive naturals, for example, 2619921 + ... + 2625423.

It is an arithmetic number, because the mean of its divisors is an integer number (279482112).

Almost surely, 2^14432564016 is an apocalyptic number.

14432564016 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 14432564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358568960).

14432564016 is an abundant number, since it is smaller than the sum of its proper divisors (30284573904).

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

14432564016 is a wasteful number, since it uses less digits than its factorization.

14432564016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14432564016 in words is "fourteen billion, four hundred thirty-two million, five hundred sixty-four thousand, sixteen".