641141319168 has 200 divisors, whose sum is σ = 2187015868752. Its totient is φ = 183183151104.

The previous prime is 641141319149. The next prime is 641141319193. The reversal of 641141319168 is 861913141146.

It is a happy number.

641141319168 is a `hidden beast` number, since 6 + 41 + 1 + 413 + 191 + 6 + 8 = 666.

It is a super-3 number, since 3×641141319168³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 813955 + ... + 1394562.

Almost surely, 2^641141319168 is an apocalyptic number.

It is an amenable number.

641141319168 is an abundant number, since it is smaller than the sum of its proper divisors (1545874549584).

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

641141319168 is an equidigital number, since it uses as much as digits as its factorization.

641141319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208554 (or 2208529 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 641141319168 in words is "six hundred forty-one billion, one hundred forty-one million, three hundred nineteen thousand, one hundred sixty-eight".