1665005310144 has 252 divisors, whose sum is σ = 5554313338392. Its totient is φ = 474867486720.

The previous prime is 1665005310091. The next prime is 1665005310169. The reversal of 1665005310144 is 4410135005661.

1665005310144 is a `hidden beast` number, since 1 + 6 + 6 + 500 + 5 + 3 + 1 + 0 + 144 = 666.

It is a super-4 number, since 4×1665005310144⁴ (a number of 50 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1665005310099 and 1665005310108.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 482199 + ... + 1887465.

It is an arithmetic number, because the mean of its divisors is an integer number (22040925946).

Almost surely, 2^{1665005310144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1665005310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777156669196).

1665005310144 is an abundant number, since it is smaller than the sum of its proper divisors (3889308028248).

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

1665005310144 is a wasteful number, since it uses less digits than its factorization.

1665005310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405324 (or 1405300 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1665005310144 in words is "one trillion, six hundred sixty-five billion, five million, three hundred ten thousand, one hundred forty-four".