14214540133431 has 48 divisors (see below), whose sum is σ = 23017400115840. Its totient is φ = 8377169895360.

The previous prime is 14214540133379. The next prime is 14214540133447. The reversal of 14214540133431 is 13433104541241.

14214540133431 is a `hidden beast` number, since 1 + 4 + 214 + 5 + 4 + 0 + 1 + 3 + 3 + 431 = 666.

It is not a de Polignac number, because 14214540133431 - 2¹⁰ = 14214540132407 is a prime.

It is a super-4 number, since 4×14214540133431⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214540133331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5185240 + ... + 7437458.

It is an arithmetic number, because the mean of its divisors is an integer number (479529169080).

Almost surely, 2^{14214540133431} is an apocalyptic number.

14214540133431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14214540133431 is a deficient number, since it is larger than the sum of its proper divisors (8802859982409).

14214540133431 is a wasteful number, since it uses less digits than its factorization.

14214540133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253996 (or 2253993 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 14214540133431 its reverse (13433104541241), we get a palindrome (27647644674672).

The spelling of 14214540133431 in words is "fourteen trillion, two hundred fourteen billion, five hundred forty million, one hundred thirty-three thousand, four hundred thirty-one".