14358000384 has 540 divisors, whose sum is σ = 53683158144. Its totient is φ = 3783241728.

The previous prime is 14358000361. The next prime is 14358000409. The reversal of 14358000384 is 48300085341.

14358000384 is a `hidden beast` number, since 1 + 43 + 580 + 0 + 0 + 38 + 4 = 666.

14358000384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 59 ways as a sum of consecutive naturals, for example, 13208289 + ... + 13209375.

Almost surely, 2^14358000384 is an apocalyptic number.

14358000384 is a gapful number since it is divisible by the number (14) 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 14358000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26841579072).

14358000384 is an abundant number, since it is smaller than the sum of its proper divisors (39325157760).

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

14358000384 is a wasteful number, since it uses less digits than its factorization.

14358000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14358000384 in words is "fourteen billion, three hundred fifty-eight million, three hundred eighty-four", and thus it is an aban number.