2165829104357 has 16 divisors (see below), whose sum is σ = 2324760134400. Its totient is φ = 2010456913920.

The previous prime is 2165829104303. The next prime is 2165829104359. The reversal of 2165829104357 is 7534019285612.

It is a cyclic number.

It is not a de Polignac number, because 2165829104357 - 2³⁶ = 2097109627621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2165829104299 and 2165829104308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165829104359) 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 15 ways as a sum of consecutive naturals, for example, 379682 + ... + 2115612.

It is an arithmetic number, because the mean of its divisors is an integer number (145297508400).

It is a 1-persistent number, because it is pandigital, but 2⋅2165829104357 = 4331658208714 is not.

Almost surely, 2^{2165829104357} is an apocalyptic number.

It is an amenable number.

2165829104357 is a deficient number, since it is larger than the sum of its proper divisors (158931030043).

2165829104357 is a wasteful number, since it uses less digits than its factorization.

2165829104357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736956.

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 2165829104357 in words is "two trillion, one hundred sixty-five billion, eight hundred twenty-nine million, one hundred four thousand, three hundred fifty-seven".