14117855871141 has 64 divisors (see below), whose sum is σ = 23484690274560. Its totient is φ = 8306805934080.

The previous prime is 14117855871127. The next prime is 14117855871179.

14117855871141 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 7 + 8 + 5 + 587 + 11 + 41 = 666.

14117855871141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14117855871141 - 2⁷ = 14117855871013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14117855870141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3616365 + ... + 6427581.

It is an arithmetic number, because the mean of its divisors is an integer number (366948285540).

Almost surely, 2^{14117855871141} is an apocalyptic number.

14117855871141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14117855871141 is a deficient number, since it is larger than the sum of its proper divisors (9366834403419).

14117855871141 is a wasteful number, since it uses less digits than its factorization.

14117855871141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811731 (or 2811725 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 54.

The spelling of 14117855871141 in words is "fourteen trillion, one hundred seventeen billion, eight hundred fifty-five million, eight hundred seventy-one thousand, one hundred forty-one".