14145151323330 has 192 divisors, whose sum is σ = 38236307945472. Its totient is φ = 3625986124800.

The previous prime is 14145151323313. The next prime is 14145151323337. The reversal of 14145151323330 is 3332315154141.

14145151323330 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 515 + 132 + 3 + 3 + 3 + 0 = 666.

14145151323330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14145151323337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52445199 + ... + 52714221.

It is an arithmetic number, because the mean of its divisors is an integer number (199147437216).

Almost surely, 2^{14145151323330} is an apocalyptic number.

14145151323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14145151323330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118153972736).

14145151323330 is an abundant number, since it is smaller than the sum of its proper divisors (24091156622142).

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

14145151323330 is a wasteful number, since it uses less digits than its factorization.

14145151323330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269313 (or 269310 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 14145151323330 its reverse (3332315154141), we get a palindrome (17477466477471).

The spelling of 14145151323330 in words is "fourteen trillion, one hundred forty-five billion, one hundred fifty-one million, three hundred twenty-three thousand, three hundred thirty".