165544214400 has 192 divisors, whose sum is σ = 605846156400. Its totient is φ = 44145100800.

The previous prime is 165544214389. The next prime is 165544214401. The reversal of 165544214400 is 4412445561.

165544214400 is a `hidden beast` number, since 1 + 65 + 544 + 2 + 14 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165544214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871611 + ... + 1044410.

Almost surely, 2^165544214400 is an apocalyptic number.

165544214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165544214400 is an abundant number, since it is smaller than the sum of its proper divisors (440301942000).

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

165544214400 is a wasteful number, since it uses less digits than its factorization.

165544214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916054 (or 1916031 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 165544214400 its reverse (4412445561), we get a palindrome (169956659961).

The spelling of 165544214400 in words is "one hundred sixty-five billion, five hundred forty-four million, two hundred fourteen thousand, four hundred".