4504917105441 has 45 divisors (see below), whose sum is σ = 6792903110851. Its totient is φ = 2975274082368.

The previous prime is 4504917105427. The next prime is 4504917105457. The reversal of 4504917105441 is 1445017194054.

The square root of 4504917105441 is 2122479.

It is a perfect power (a square), and thus also a powerful number.

4504917105441 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 91 + 7 + 10 + 544 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79380245025 + 4425536860416 = 281745^2 + 2103696^2 .

It is not a de Polignac number, because 4504917105441 - 2³³ = 4496327170849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4504917105541) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2158560100 + ... + 2158562186.

Almost surely, 2^{4504917105441} is an apocalyptic number.

4504917105441 is the 2122479-th square number.

4504917105441 is the 1061240-th centered octagonal number.

It is an amenable number.

4504917105441 is a deficient number, since it is larger than the sum of its proper divisors (2287986005410).

4504917105441 is an frugal number, since it uses more digits than its factorization.

4504917105441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 4504917105441 in words is "four trillion, five hundred four billion, nine hundred seventeen million, one hundred five thousand, four hundred forty-one".