43641331613361 has 48 divisors (see below), whose sum is σ = 66231384158160. Its totient is φ = 27652979128320.

The previous prime is 43641331613309. The next prime is 43641331613371. The reversal of 43641331613361 is 16331613314634.

43641331613361 is a `hidden beast` number, since 4 + 36 + 413 + 3 + 16 + 133 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3610212803136 + 40031118810225 = 1900056^2 + 6327015^2 .

It is not a de Polignac number, because 43641331613361 - 2⁷ = 43641331613233 is a prime.

It is a super-3 number, since 3×43641331613361³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (43641331613371) 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, 7728415 + ... + 12124811.

It is an arithmetic number, because the mean of its divisors is an integer number (1379820503295).

Almost surely, 2^{43641331613361} is an apocalyptic number.

It is an amenable number.

43641331613361 is a deficient number, since it is larger than the sum of its proper divisors (22590052544799).

43641331613361 is a wasteful number, since it uses less digits than its factorization.

43641331613361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397026 (or 4397023 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

Adding to 43641331613361 its reverse (16331613314634), we get a palindrome (59972944927995).

The spelling of 43641331613361 in words is "forty-three trillion, six hundred forty-one billion, three hundred thirty-one million, six hundred thirteen thousand, three hundred sixty-one".