165146310356211 has 160 divisors (see below), whose sum is σ = 266683994362368. Its totient is φ = 101478728033280.

The previous prime is 165146310356063. The next prime is 165146310356243. The reversal of 165146310356211 is 112653013641561.

165146310356211 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 4 + 6 + 3 + 10 + 3 + 5 + 621 + 1 = 666.

It is not a de Polignac number, because 165146310356211 - 2¹⁵ = 165146310323443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165146310356611) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5076254301 + ... + 5076286833.

Almost surely, 2^{165146310356211} is an apocalyptic number.

165146310356211 is a deficient number, since it is larger than the sum of its proper divisors (101537684006157).

165146310356211 is a wasteful number, since it uses less digits than its factorization.

165146310356211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33063 (or 33054 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 165146310356211 its reverse (112653013641561), we get a palindrome (277799323997772).

The spelling of 165146310356211 in words is "one hundred sixty-five trillion, one hundred forty-six billion, three hundred ten million, three hundred fifty-six thousand, two hundred eleven".