14162830050096 has 240 divisors, whose sum is σ = 48786730574400. Its totient is φ = 3734972467200.

The previous prime is 14162830050067. The next prime is 14162830050113. The reversal of 14162830050096 is 69005003826141.

14162830050096 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 28 + 30 + 0 + 500 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221438730 + ... + 221502678.

It is an arithmetic number, because the mean of its divisors is an integer number (203278044060).

Almost surely, 2^{14162830050096} is an apocalyptic number.

14162830050096 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 14162830050096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393365287200).

14162830050096 is an abundant number, since it is smaller than the sum of its proper divisors (34623900524304).

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

14162830050096 is a wasteful number, since it uses less digits than its factorization.

14162830050096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80884 (or 80875 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14162830050096 in words is "fourteen trillion, one hundred sixty-two billion, eight hundred thirty million, fifty thousand, ninety-six".