165662165232 has 240 divisors, whose sum is σ = 493350923520. Its totient is φ = 51746688000.

The previous prime is 165662165209. The next prime is 165662165237. The reversal of 165662165232 is 232561266561.

165662165232 is a `hidden beast` number, since 1 + 6 + 56 + 62 + 16 + 523 + 2 = 666.

It is a super-2 number, since 2×165662165232² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165662165237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116090503 + ... + 116091929.

It is an arithmetic number, because the mean of its divisors is an integer number (2055628848).

Almost surely, 2^165662165232 is an apocalyptic number.

165662165232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165662165232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246675461760).

165662165232 is an abundant number, since it is smaller than the sum of its proper divisors (327688758288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165662165232 is a wasteful number, since it uses less digits than its factorization.

165662165232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1883 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 165662165232 in words is "one hundred sixty-five billion, six hundred sixty-two million, one hundred sixty-five thousand, two hundred thirty-two".