341144442341300 has 54 divisors (see below), whose sum is σ = 801608695295058. Its totient is φ = 125961024858240.

The previous prime is 341144442341299. The next prime is 341144442341341. The reversal of 341144442341300 is 3143244441143.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 299297335244944 + 41847107096356 = 17300212^2 + 6468934^2 .

It is a congruent 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 17 ways as a sum of consecutive naturals, for example, 10093013939 + ... + 10093047738.

It is an arithmetic number, because the mean of its divisors is an integer number (14844605468427).

Almost surely, 2^{341144442341300} is an apocalyptic number.

It is an amenable number.

341144442341300 is an abundant number, since it is smaller than the sum of its proper divisors (460464252953758).

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

341144442341300 is a wasteful number, since it uses less digits than its factorization.

341144442341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20186061717 (or 20186061697 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 341144442341300 its reverse (3143244441143), we get a palindrome (344287686782443).

The spelling of 341144442341300 in words is "three hundred forty-one trillion, one hundred forty-four billion, four hundred forty-two million, three hundred forty-one thousand, three hundred".