3643264641141 has 24 divisors (see below), whose sum is σ = 5623171571160. Its totient is φ = 2264997758976.

The previous prime is 3643264641113. The next prime is 3643264641161. The reversal of 3643264641141 is 1411464623463.

3643264641141 is a `hidden beast` number, since 3 + 6 + 43 + 2 + 6 + 464 + 1 + 141 = 666.

3643264641141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2334414238641 + 1308850402500 = 1527879^2 + 1144050^2 .

It is not a de Polignac number, because 3643264641141 - 2¹⁰ = 3643264640117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643264641161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109213540 + ... + 109246893.

It is an arithmetic number, because the mean of its divisors is an integer number (234298815465).

Almost surely, 2^{3643264641141} is an apocalyptic number.

It is an amenable number.

3643264641141 is a deficient number, since it is larger than the sum of its proper divisors (1979906930019).

3643264641141 is a wasteful number, since it uses less digits than its factorization.

3643264641141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218460565 (or 218460562 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 3643264641141 in words is "three trillion, six hundred forty-three billion, two hundred sixty-four million, six hundred forty-one thousand, one hundred forty-one".