14430424464 has 120 divisors (see below), whose sum is σ = 41528627712. Its totient is φ = 4674274560.

The previous prime is 14430424433. The next prime is 14430424471. The reversal of 14430424464 is 46442403441.

14430424464 is a `hidden beast` number, since 144 + 30 + 4 + 24 + 464 = 666.

14430424464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14430424464² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6834769 + ... + 6836879.

Almost surely, 2^14430424464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430424464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20764313856).

14430424464 is an abundant number, since it is smaller than the sum of its proper divisors (27098203248).

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

14430424464 is a wasteful number, since it uses less digits than its factorization.

14430424464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 14430424464 in words is "fourteen billion, four hundred thirty million, four hundred twenty-four thousand, four hundred sixty-four".