165221146332 has 192 divisors, whose sum is σ = 484052889600. Its totient is φ = 48275861760.

The previous prime is 165221146289. The next prime is 165221146351. The reversal of 165221146332 is 233641122561.

165221146332 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 2 + 1 + 14 + 633 + 2 = 666.

165221146332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29729298 + ... + 29734854.

It is an arithmetic number, because the mean of its divisors is an integer number (2521108800).

Almost surely, 2^165221146332 is an apocalyptic number.

165221146332 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 165221146332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242026444800).

165221146332 is an abundant number, since it is smaller than the sum of its proper divisors (318831743268).

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

165221146332 is a wasteful number, since it uses less digits than its factorization.

165221146332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6465 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 165221146332 its reverse (233641122561), we get a palindrome (398862268893).

The spelling of 165221146332 in words is "one hundred sixty-five billion, two hundred twenty-one million, one hundred forty-six thousand, three hundred thirty-two".