14148205188100 has 243 divisors, whose sum is σ = 32184895074591. Its totient is φ = 5398375632000.

The previous prime is 14148205188041. The next prime is 14148205188121. The reversal of 14148205188100 is 188150284141.

The square root of 14148205188100 is 3761410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 106577437444 + 14041627750656 = 326462^2 + 3747216^2 .

It is a super-2 number, since 2×14148205188100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 93696723025 + ... + 93696723175.

Almost surely, 2^{14148205188100} is an apocalyptic number.

14148205188100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14148205188100 is the 3761410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14148205188100

14148205188100 is an abundant number, since it is smaller than the sum of its proper divisors (18036689886491).

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

14148205188100 is an equidigital number, since it uses as much as digits as its factorization.

14148205188100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 43.

The spelling of 14148205188100 in words is "fourteen trillion, one hundred forty-eight billion, two hundred five million, one hundred eighty-eight thousand, one hundred".