14300950377168 has 200 divisors, whose sum is σ = 50942892029568. Its totient is φ = 3771679189248.

The previous prime is 14300950377149. The next prime is 14300950377173. The reversal of 14300950377168 is 86177305900341.

14300950377168 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 0 + 9 + 503 + 7 + 71 + 68 = 666.

It is a super-2 number, since 2×14300950377168² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60512196 + ... + 60748067.

Almost surely, 2^{14300950377168} is an apocalyptic number.

14300950377168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14300950377168 is an abundant number, since it is smaller than the sum of its proper divisors (36641941652400).

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

14300950377168 is a wasteful number, since it uses less digits than its factorization.

14300950377168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121260303 (or 121260288 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 14300950377168 in words is "fourteen trillion, three hundred billion, nine hundred fifty million, three hundred seventy-seven thousand, one hundred sixty-eight".