641313313146 has 144 divisors (see below), whose sum is σ = 1618287855912. Its totient is φ = 182777886720.

The previous prime is 641313313097. The next prime is 641313313159.

641313313146 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 1 + 331 + 314 + 6 = 666.

641313313146 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 641192555025 + 120758121 = 800745^2 + 10989^2 .

It is a super-3 number, since 3×641313313146³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 641313313146.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61346856 + ... + 61357308.

Almost surely, 2^641313313146 is an apocalyptic number.

641313313146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 641313313146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809143927956).

641313313146 is an abundant number, since it is smaller than the sum of its proper divisors (976974542766).

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

641313313146 is a wasteful number, since it uses less digits than its factorization.

641313313146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12157 (or 12143 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 641313 and 313146, that added together give a palindrome (954459).

The spelling of 641313313146 in words is "six hundred forty-one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred forty-six".