14432916960 has 672 divisors, whose sum is σ = 63777756672. Its totient is φ = 2997181440.

The previous prime is 14432916947. The next prime is 14432917021. The reversal of 14432916960 is 6961923441.

14432916960 is a `hidden beast` number, since 1 + 443 + 2 + 91 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8980477 + ... + 8982083.

It is an arithmetic number, because the mean of its divisors is an integer number (94907376).

Almost surely, 2^14432916960 is an apocalyptic number.

14432916960 is a gapful number since it is divisible by the number (10) 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 14432916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31888878336).

14432916960 is an abundant number, since it is smaller than the sum of its proper divisors (49344839712).

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

14432916960 is a wasteful number, since it uses less digits than its factorization.

14432916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 14432916960 in words is "fourteen billion, four hundred thirty-two million, nine hundred sixteen thousand, nine hundred sixty".