14166560100 has 288 divisors, whose sum is σ = 51246720000. Its totient is φ = 2935411200.

The previous prime is 14166560081. The next prime is 14166560147. The reversal of 14166560100 is 106566141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11526286 + ... + 11527514.

It is an arithmetic number, because the mean of its divisors is an integer number (177940000).

Almost surely, 2^14166560100 is an apocalyptic number.

14166560100 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 14166560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623360000).

14166560100 is an abundant number, since it is smaller than the sum of its proper divisors (37080159900).

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

14166560100 is a wasteful number, since it uses less digits than its factorization.

14166560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 14166560100 in words is "fourteen billion, one hundred sixty-six million, five hundred sixty thousand, one hundred".