14066148096 has 1152 divisors, whose sum is σ = 59338137600. Its totient is φ = 3165143040.

The previous prime is 14066148091. The next prime is 14066148097. The reversal of 14066148096 is 69084166041.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (14066148091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131459275 + ... + 131459381.

It is an arithmetic number, because the mean of its divisors is an integer number (51508800).

Almost surely, 2^14066148096 is an apocalyptic number.

14066148096 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 14066148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29669068800).

14066148096 is an abundant number, since it is smaller than the sum of its proper divisors (45271989504).

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

14066148096 is a wasteful number, since it uses less digits than its factorization.

14066148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14066148096 in words is "fourteen billion, sixty-six million, one hundred forty-eight thousand, ninety-six".