4205505645 has 72 divisors (see below), whose sum is σ = 8483981688. Its totient is φ = 1919047680.

The previous prime is 4205505631. The next prime is 4205505701. The reversal of 4205505645 is 5465055024.

4205505645 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 5 + 0 + 5 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2267569161 + 1937936484 = 47619^2 + 44022^2 .

It is not a de Polignac number, because 4205505645 - 2⁷ = 4205505517 is a prime.

It is a super-3 number, since 3×4205505645³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69849 + ... + 115281.

It is an arithmetic number, because the mean of its divisors is an integer number (117833079).

Almost surely, 2^4205505645 is an apocalyptic number.

4205505645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4205505645 is an abundant number, since it is smaller than the sum of its proper divisors (4278476043).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4205505645 is a wasteful number, since it uses less digits than its factorization.

4205505645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45483 (or 45469 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 4205505645 is about 64849.8700461304. The cubic root of 4205505645 is about 1614.1333354466.

The spelling of 4205505645 in words is "four billion, two hundred five million, five hundred five thousand, six hundred forty-five".