14164357106200 has 192 divisors, whose sum is σ = 37813307025600. Its totient is φ = 4833579571200.

The previous prime is 14164357106189. The next prime is 14164357106201. The reversal of 14164357106200 is 260175346141.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164357106201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448145310 + ... + 1448155090.

It is an arithmetic number, because the mean of its divisors is an integer number (196944307425).

Almost surely, 2^{14164357106200} is an apocalyptic number.

14164357106200 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 14164357106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18906653512800).

14164357106200 is an abundant number, since it is smaller than the sum of its proper divisors (23648949919400).

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

14164357106200 is a wasteful number, since it uses less digits than its factorization.

14164357106200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14550 (or 14541 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 14164357106200 in words is "fourteen trillion, one hundred sixty-four billion, three hundred fifty-seven million, one hundred six thousand, two hundred".