165221132235511 has 64 divisors (see below), whose sum is σ = 189745562603520. Its totient is φ = 142502567040000.

The previous prime is 165221132235499. The next prime is 165221132235527. The reversal of 165221132235511 is 115532231122561.

It is a cyclic number.

It is not a de Polignac number, because 165221132235511 - 2²⁹ = 165220595364599 is a prime.

It is a super-2 number, since 2×165221132235511² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165221132235541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8509087075 + ... + 8509106491.

It is an arithmetic number, because the mean of its divisors is an integer number (2964774415680).

Almost surely, 2^{165221132235511} is an apocalyptic number.

165221132235511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

165221132235511 is a deficient number, since it is larger than the sum of its proper divisors (24524430368009).

165221132235511 is a wasteful number, since it uses less digits than its factorization.

165221132235511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21976.

The product of its digits is 108000, while the sum is 40.

The spelling of 165221132235511 in words is "one hundred sixty-five trillion, two hundred twenty-one billion, one hundred thirty-two million, two hundred thirty-five thousand, five hundred eleven".