14329344960 has 672 divisors, whose sum is σ = 59844188160. Its totient is φ = 3160442880.

The previous prime is 14329344929. The next prime is 14329344961. The reversal of 14329344960 is 6944392341.

14329344960 is a `hidden beast` number, since 1 + 432 + 93 + 44 + 96 + 0 = 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 not an unprimeable number, because it can be changed into a prime (14329344961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201821725 + ... + 201821795.

Almost surely, 2^14329344960 is an apocalyptic number.

14329344960 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 14329344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29922094080).

14329344960 is an abundant number, since it is smaller than the sum of its proper divisors (45514843200).

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

14329344960 is an equidigital number, since it uses as much as digits as its factorization.

14329344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 14329344960 in words is "fourteen billion, three hundred twenty-nine million, three hundred forty-four thousand, nine hundred sixty".