14180218128 has 160 divisors (see below), whose sum is σ = 41593766400. Its totient is φ = 4624349184.

The previous prime is 14180218127. The next prime is 14180218181. The reversal of 14180218128 is 82181208141.

14180218128 is a `hidden beast` number, since 1 + 418 + 0 + 218 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14180218092 and 14180218101.

It is not an unprimeable number, because it can be changed into a prime (14180218127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3854626 + ... + 3858302.

It is an arithmetic number, because the mean of its divisors is an integer number (259961040).

Almost surely, 2^14180218128 is an apocalyptic number.

14180218128 is a gapful number since it is divisible by the number (18) 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 14180218128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20796883200).

14180218128 is an abundant number, since it is smaller than the sum of its proper divisors (27413548272).

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

14180218128 is a wasteful number, since it uses less digits than its factorization.

14180218128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 14180218128 in words is "fourteen billion, one hundred eighty million, two hundred eighteen thousand, one hundred twenty-eight".