14678590432 has 144 divisors (see below), whose sum is σ = 34901988912. Its totient is φ = 6005288960.

The previous prime is 14678590411. The next prime is 14678590463. The reversal of 14678590432 is 23409587641.

It is a happy number.

14678590432 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 2×14678590432² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 3163218 + ... + 3167854.

It is an arithmetic number, because the mean of its divisors is an integer number (242374923).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14678590432 = 29357180864, but 3⋅14678590432 = 44035771296 is not.

Almost surely, 2^14678590432 is an apocalyptic number.

14678590432 is the 98923-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14678590432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450994456).

14678590432 is an abundant number, since it is smaller than the sum of its proper divisors (20223398480).

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

14678590432 is a wasteful number, since it uses less digits than its factorization.

14678590432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 14678590432 in words is "fourteen billion, six hundred seventy-eight million, five hundred ninety thousand, four hundred thirty-two".