14878380384 has 216 divisors, whose sum is σ = 49346545248. Its totient is φ = 4239889920.

The previous prime is 14878380383. The next prime is 14878380443. The reversal of 14878380384 is 48308387841.

It is a happy number.

14878380384 is a `hidden beast` number, since 1 + 487 + 8 + 3 + 80 + 3 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14878380384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14878380383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6504489 + ... + 6506775.

It is an arithmetic number, because the mean of its divisors is an integer number (228456228).

Almost surely, 2^14878380384 is an apocalyptic number.

14878380384 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 14878380384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24673272624).

14878380384 is an abundant number, since it is smaller than the sum of its proper divisors (34468164864).

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

14878380384 is a wasteful number, since it uses less digits than its factorization.

14878380384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14878380384 in words is "fourteen billion, eight hundred seventy-eight million, three hundred eighty thousand, three hundred eighty-four".