14432850432 has 960 divisors, whose sum is σ = 58777488000. Its totient is φ = 3437199360.

The previous prime is 14432850427. The next prime is 14432850457. The reversal of 14432850432 is 23405823441.

14432850432 is a `hidden beast` number, since 144 + 3 + 2 + 8 + 504 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96864694 + ... + 96864842.

It is an arithmetic number, because the mean of its divisors is an integer number (61226550).

Almost surely, 2^14432850432 is an apocalyptic number.

14432850432 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 14432850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29388744000).

14432850432 is an abundant number, since it is smaller than the sum of its proper divisors (44344637568).

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

14432850432 is a wasteful number, since it uses less digits than its factorization.

14432850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14432850432 in words is "fourteen billion, four hundred thirty-two million, eight hundred fifty thousand, four hundred thirty-two".