14071814100 has 432 divisors, whose sum is σ = 48069423360. Its totient is φ = 3573383040.

The previous prime is 14071814093. The next prime is 14071814129. The reversal of 14071814100 is 141817041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 299400277 + ... + 299400323.

Almost surely, 2^14071814100 is an apocalyptic number.

14071814100 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 14071814100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034711680).

14071814100 is an abundant number, since it is smaller than the sum of its proper divisors (33997609260).

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

14071814100 is an equidigital number, since it uses as much as digits as its factorization.

14071814100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 14071814100 in words is "fourteen billion, seventy-one million, eight hundred fourteen thousand, one hundred".