64141806464164 has 243 divisors, whose sum is σ = 137139885706467. Its totient is φ = 26217797548800.

The previous prime is 64141806464147. The next prime is 64141806464179. The reversal of 64141806464164 is 46146460814146.

It is a happy number.

The square root of 64141806464164 is 8008858.

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 42723348416100 + 21418458048064 = 6536310^2 + 4628008^2 .

It is a super-2 number, since 2×64141806464164² (a number of 28 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, 93911868567 + ... + 93911869249.

Almost surely, 2^{64141806464164} is an apocalyptic number.

64141806464164 is the 8008858-th square number.

It is an amenable number.

64141806464164 is an abundant number, since it is smaller than the sum of its proper divisors (72998079242303).

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

64141806464164 is a wasteful number, since it uses less digits than its factorization.

64141806464164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 64141806464164 in words is "sixty-four trillion, one hundred forty-one billion, eight hundred six million, four hundred sixty-four thousand, one hundred sixty-four".