3575648217105 has 48 divisors (see below), whose sum is σ = 6576601855824. Its totient is φ = 1790941655040.

The previous prime is 3575648217059. The next prime is 3575648217133. The reversal of 3575648217105 is 5017128465753.

3575648217105 is a `hidden beast` number, since 3 + 5 + 7 + 56 + 482 + 1 + 7 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33106894209 + 3542541322896 = 181953^2 + 1882164^2 .

It is not a de Polignac number, because 3575648217105 - 2¹⁰ = 3575648216081 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716804 + ... + 5422133.

It is an arithmetic number, because the mean of its divisors is an integer number (137012538663).

Almost surely, 2^{3575648217105} is an apocalyptic number.

It is an amenable number.

3575648217105 is a deficient number, since it is larger than the sum of its proper divisors (3000953638719).

3575648217105 is a wasteful number, since it uses less digits than its factorization.

3575648217105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139426 (or 10139423 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 3575648217105 in words is "three trillion, five hundred seventy-five billion, six hundred forty-eight million, two hundred seventeen thousand, one hundred five".