641364888463146 has 96 divisors (see below), whose sum is σ = 1394229132691200. Its totient is φ = 213081112632960.

The previous prime is 641364888463133. The next prime is 641364888463183.

641364888463146 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 6 + 48 + 88 + 463 + 1 + 46 = 666.

641364888463146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×641364888463146² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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, 34120589020 + ... + 34120607816.

It is an arithmetic number, because the mean of its divisors is an integer number (14523220132200).

Almost surely, 2^{641364888463146} is an apocalyptic number.

641364888463146 is an abundant number, since it is smaller than the sum of its proper divisors (752864244228054).

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

641364888463146 is a wasteful number, since it uses less digits than its factorization.

641364888463146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24284 (or 24281 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 72.

The spelling of 641364888463146 in words is "six hundred forty-one trillion, three hundred sixty-four billion, eight hundred eighty-eight million, four hundred sixty-three thousand, one hundred forty-six".