14119554960 has 320 divisors, whose sum is σ = 56256399360. Its totient is φ = 3188160000.

The previous prime is 14119554959. The next prime is 14119554973. The reversal of 14119554960 is 6945591141.

14119554960 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 9 + 554 + 96 + 0 = 666.

14119554960 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 (45).

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 63 ways as a sum of consecutive naturals, for example, 1249335 + ... + 1260585.

It is an arithmetic number, because the mean of its divisors is an integer number (175801248).

Almost surely, 2^14119554960 is an apocalyptic number.

14119554960 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 14119554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28128199680).

14119554960 is an abundant number, since it is smaller than the sum of its proper divisors (42136844400).

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

14119554960 is a wasteful number, since it uses less digits than its factorization.

14119554960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363 (or 11351 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 14119554960 in words is "fourteen billion, one hundred nineteen million, five hundred fifty-four thousand, nine hundred sixty".