14264166016100 has 432 divisors, whose sum is σ = 42712643465856. Its totient is φ = 4064110848000.

The previous prime is 14264166016097. The next prime is 14264166016117. The reversal of 14264166016100 is 161066146241.

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 143 ways as a sum of consecutive naturals, for example, 72073280 + ... + 72270920.

Almost surely, 2^{14264166016100} is an apocalyptic number.

14264166016100 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 14264166016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356321732928).

14264166016100 is an abundant number, since it is smaller than the sum of its proper divisors (28448477449756).

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

14264166016100 is a wasteful number, since it uses less digits than its factorization.

14264166016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197796 (or 197782 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 14264166016100 in words is "fourteen trillion, two hundred sixty-four billion, one hundred sixty-six million, sixteen thousand, one hundred".