14838408960 has 288 divisors, whose sum is σ = 49024702272. Its totient is φ = 3822059520.

The previous prime is 14838408941. The next prime is 14838408961. The reversal of 14838408960 is 6980483841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14838408961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25716192 + ... + 25716768.

Almost surely, 2^14838408960 is an apocalyptic number.

14838408960 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 14838408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24512351136).

14838408960 is an abundant number, since it is smaller than the sum of its proper divisors (34186293312).

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

14838408960 is a wasteful number, since it uses less digits than its factorization.

14838408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 14838408960 in words is "fourteen billion, eight hundred thirty-eight million, four hundred eight thousand, nine hundred sixty".