12364561341 has 48 divisors (see below), whose sum is σ = 19607223168. Its totient is φ = 7446297600.

The previous prime is 12364561337. The next prime is 12364561343. The reversal of 12364561341 is 14316546321.

12364561341 is a `hidden beast` number, since 1 + 2 + 3 + 64 + 561 + 34 + 1 = 666.

It is not a de Polignac number, because 12364561341 - 2² = 12364561337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12364561296 and 12364561305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364561343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16247401 + ... + 16248161.

It is an arithmetic number, because the mean of its divisors is an integer number (408483816).

Almost surely, 2^12364561341 is an apocalyptic number.

12364561341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12364561341 is a deficient number, since it is larger than the sum of its proper divisors (7242661827).

12364561341 is a wasteful number, since it uses less digits than its factorization.

12364561341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1599 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 12364561341 in words is "twelve billion, three hundred sixty-four million, five hundred sixty-one thousand, three hundred forty-one".