14080218600 has 384 divisors, whose sum is σ = 52568064000. Its totient is φ = 3113107200.

The previous prime is 14080218599. The next prime is 14080218617. The reversal of 14080218600 is 681208041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6378697 + ... + 6380903.

It is an arithmetic number, because the mean of its divisors is an integer number (136896000).

Almost surely, 2^14080218600 is an apocalyptic number.

14080218600 is a gapful number since it is divisible by the number (10) 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 14080218600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284032000).

14080218600 is an abundant number, since it is smaller than the sum of its proper divisors (38487845400).

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

14080218600 is a wasteful number, since it uses less digits than its factorization.

14080218600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 14080218600 in words is "fourteen billion, eighty million, two hundred eighteen thousand, six hundred".