2261453441665 has 24 divisors (see below), whose sum is σ = 2983645886760. Its totient is φ = 1644268792320.

The previous prime is 2261453441657. The next prime is 2261453441683. The reversal of 2261453441665 is 5661443541622.

It can be written as a sum of positive squares in 4 ways, for example, as 788929439089 + 1472524002576 = 888217^2 + 1213476^2 .

It is not a de Polignac number, because 2261453441665 - 2³ = 2261453441657 is a prime.

It is a super-2 number, since 2×2261453441665² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1872267 + ... + 2833423.

It is an arithmetic number, because the mean of its divisors is an integer number (124318578615).

Almost surely, 2^{2261453441665} is an apocalyptic number.

It is an amenable number.

2261453441665 is a deficient number, since it is larger than the sum of its proper divisors (722192445095).

2261453441665 is a wasteful number, since it uses less digits than its factorization.

2261453441665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965073 (or 965062 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 2261453441665 in words is "two trillion, two hundred sixty-one billion, four hundred fifty-three million, four hundred forty-one thousand, six hundred sixty-five".