643414060341 has 144 divisors (see below), whose sum is σ = 1071670908672. Its totient is φ = 385448544000.

The previous prime is 643414060231. The next prime is 643414060357. The reversal of 643414060341 is 143060414346.

643414060341 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 1 + 4 + 0 + 603 + 41 = 666.

It is not a de Polignac number, because 643414060341 - 2⁷ = 643414060213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 643414060296 and 643414060305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643414010341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 253012516 + ... + 253015058.

It is an arithmetic number, because the mean of its divisors is an integer number (7442159088).

Almost surely, 2^643414060341 is an apocalyptic number.

643414060341 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

643414060341 is a deficient number, since it is larger than the sum of its proper divisors (428256848331).

643414060341 is a wasteful number, since it uses less digits than its factorization.

643414060341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 643414060341 its reverse (143060414346), we get a palindrome (786474474687).

The spelling of 643414060341 in words is "six hundred forty-three billion, four hundred fourteen million, sixty thousand, three hundred forty-one".