14348883150096 has 240 divisors, whose sum is σ = 41577746145600. Its totient is φ = 4228122931200.

The previous prime is 14348883150071. The next prime is 14348883150103. The reversal of 14348883150096 is 69005138884341.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 194263380 + ... + 194337228.

It is an arithmetic number, because the mean of its divisors is an integer number (173240608940).

Almost surely, 2^{14348883150096} is an apocalyptic number.

14348883150096 is a gapful number since it is divisible by the number (16) 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 14348883150096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788873072800).

14348883150096 is an abundant number, since it is smaller than the sum of its proper divisors (27228862995504).

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

14348883150096 is a wasteful number, since it uses less digits than its factorization.

14348883150096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74086 (or 74009 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 14348883150096 in words is "fourteen trillion, three hundred forty-eight billion, eight hundred eighty-three million, one hundred fifty thousand, ninety-six".