14866107168 has 192 divisors, whose sum is σ = 43266908160. Its totient is φ = 4431820800.

The previous prime is 14866107149. The next prime is 14866107227. The reversal of 14866107168 is 86170166841.

It is a super-2 number, since 2×14866107168² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34491913 + ... + 34492343.

It is an arithmetic number, because the mean of its divisors is an integer number (225348480).

Almost surely, 2^14866107168 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 14866107168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633454080).

14866107168 is an abundant number, since it is smaller than the sum of its proper divisors (28400800992).

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

14866107168 is a wasteful number, since it uses less digits than its factorization.

14866107168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 14866107168 in words is "fourteen billion, eight hundred sixty-six million, one hundred seven thousand, one hundred sixty-eight".