221117085601857 has 24 divisors (see below), whose sum is σ = 321944091763944. Its totient is φ = 146234681074944.

The previous prime is 221117085601849. The next prime is 221117085601939. The reversal of 221117085601857 is 758106580711122.

221117085601857 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 1 + 70 + 8 + 560 + 1 + 8 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161686076461056 + 59431009140801 = 12715584^2 + 7709151^2 .

It is not a de Polignac number, because 221117085601857 - 2³ = 221117085601849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221117085601837) 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, 59919598 + ... + 63502695.

It is an arithmetic number, because the mean of its divisors is an integer number (13414337156831).

Almost surely, 2^{221117085601857} is an apocalyptic number.

It is an amenable number.

221117085601857 is a deficient number, since it is larger than the sum of its proper divisors (100827006162087).

221117085601857 is a wasteful number, since it uses less digits than its factorization.

221117085601857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123423889 (or 123423886 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 54.

The spelling of 221117085601857 in words is "two hundred twenty-one trillion, one hundred seventeen billion, eighty-five million, six hundred one thousand, eight hundred fifty-seven".