2111653641409 has 9 divisors (see below), whose sum is σ = 2286603984969. Its totient is φ = 1949201308080.

The previous prime is 2111653641397. The next prime is 2111653641421. The reversal of 2111653641409 is 9041463561112.

The square root of 2111653641409 is 1453153.

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

It is an interprime number because it is at equal distance from previous prime (2111653641397) and next prime (2111653641421).

It can be written as a sum of positive squares in 4 ways, for example, as 190458052225 + 1921195589184 = 436415^2 + 1386072^2 .

It is not a de Polignac number, because 2111653641409 - 2⁷ = 2111653641281 is a prime.

It is a super-2 number, since 2×2111653641409² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111653641709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18835099 + ... + 18946879.

It is an arithmetic number, because the mean of its divisors is an integer number (254067109441).

Almost surely, 2^{2111653641409} is an apocalyptic number.

2111653641409 is the 1453153-rd square number.

2111653641409 is the 726577-th centered octagonal number.

It is an amenable number.

2111653641409 is a deficient number, since it is larger than the sum of its proper divisors (174950343560).

2111653641409 is an frugal number, since it uses more digits than its factorization.

2111653641409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223588 (or 111794 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 2111653641409 in words is "two trillion, one hundred eleven billion, six hundred fifty-three million, six hundred forty-one thousand, four hundred nine".