14505112164 has 192 divisors, whose sum is σ = 39597465600. Its totient is φ = 4101580800.

The previous prime is 14505112163. The next prime is 14505112177. The reversal of 14505112164 is 46121150541.

It is not an unprimeable number, because it can be changed into a prime (14505112163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7328527 + ... + 7330505.

It is an arithmetic number, because the mean of its divisors is an integer number (206236800).

Almost surely, 2^14505112164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14505112164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798732800).

14505112164 is an abundant number, since it is smaller than the sum of its proper divisors (25092353436).

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

14505112164 is a wasteful number, since it uses less digits than its factorization.

14505112164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 14505112164 in words is "fourteen billion, five hundred five million, one hundred twelve thousand, one hundred sixty-four".