14378148960 has 768 divisors, whose sum is σ = 56696371200. Its totient is φ = 2993356800.

The previous prime is 14378148959. The next prime is 14378148979. The reversal of 14378148960 is 6984187341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235707330 + ... + 235707390.

It is an arithmetic number, because the mean of its divisors is an integer number (73823400).

Almost surely, 2^14378148960 is an apocalyptic number.

14378148960 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 14378148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28348185600).

14378148960 is an abundant number, since it is smaller than the sum of its proper divisors (42318222240).

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

14378148960 is a wasteful number, since it uses less digits than its factorization.

14378148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 14378148960 in words is "fourteen billion, three hundred seventy-eight million, one hundred forty-eight thousand, nine hundred sixty".