3545047177641 has 24 divisors (see below), whose sum is σ = 5218504481736. Its totient is φ = 2318210668800.

The previous prime is 3545047177631. The next prime is 3545047177643. The reversal of 3545047177641 is 1467717405453.

3545047177641 is a `hidden beast` number, since 3 + 5 + 4 + 504 + 7 + 1 + 77 + 64 + 1 = 666.

3545047177641 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 2467478614041 + 1077568563600 = 1570821^2 + 1038060^2 .

It is not a de Polignac number, because 3545047177641 - 2³⁰ = 3543973435817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3545047177643) 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, 1072341 + ... + 2870541.

It is an arithmetic number, because the mean of its divisors is an integer number (217437686739).

Almost surely, 2^{3545047177641} is an apocalyptic number.

It is an amenable number.

3545047177641 is a deficient number, since it is larger than the sum of its proper divisors (1673457304095).

3545047177641 is a wasteful number, since it uses less digits than its factorization.

3545047177641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802393 (or 1802390 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 3545047177641 in words is "three trillion, five hundred forty-five billion, forty-seven million, one hundred seventy-seven thousand, six hundred forty-one".