165343417344 has 792 divisors, whose sum is σ = 593214704640. Its totient is φ = 45357096960.

The previous prime is 165343417331. The next prime is 165343417363. The reversal of 165343417344 is 443714343561.

It is a happy number.

165343417344 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 434 + 173 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 165343417344.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1301916609 + ... + 1301916735.

Almost surely, 2^165343417344 is an apocalyptic number.

165343417344 is a gapful number since it is divisible by the number (14) 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 165343417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296607352320).

165343417344 is an abundant number, since it is smaller than the sum of its proper divisors (427871287296).

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

165343417344 is a wasteful number, since it uses less digits than its factorization.

165343417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 170 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 165343417344 in words is "one hundred sixty-five billion, three hundred forty-three million, four hundred seventeen thousand, three hundred forty-four".