2165657218041 has 16 divisors (see below), whose sum is σ = 2921589665280. Its totient is φ = 1426765929600.

The previous prime is 2165657218027. The next prime is 2165657218051. The reversal of 2165657218041 is 1408127565612.

It is a happy number.

It is not a de Polignac number, because 2165657218041 - 2¹⁵ = 2165657185273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2165657218001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737910 + ... + 2711391.

It is an arithmetic number, because the mean of its divisors is an integer number (182599354080).

Almost surely, 2^{2165657218041} is an apocalyptic number.

It is an amenable number.

2165657218041 is a deficient number, since it is larger than the sum of its proper divisors (755932447239).

2165657218041 is a wasteful number, since it uses less digits than its factorization.

2165657218041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451216.

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 2165657218041 in words is "two trillion, one hundred sixty-five billion, six hundred fifty-seven million, two hundred eighteen thousand, forty-one".