165228145423200 has 720 divisors, whose sum is σ = 605062864341936. Its totient is φ = 43877840486400.

The previous prime is 165228145423141. The next prime is 165228145423207. The reversal of 165228145423200 is 2324541822561.

165228145423200 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 2 + 8 + 14 + 5 + 423 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165228145423207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16021341244 + ... + 16021351556.

Almost surely, 2^{165228145423200} is an apocalyptic number.

165228145423200 is a gapful number since it is divisible by the number (10) 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 165228145423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302531432170968).

165228145423200 is an abundant number, since it is smaller than the sum of its proper divisors (439834718918736).

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

165228145423200 is a wasteful number, since it uses less digits than its factorization.

165228145423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11349 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 165228145423200 in words is "one hundred sixty-five trillion, two hundred twenty-eight billion, one hundred forty-five million, four hundred twenty-three thousand, two hundred".