165369406906368 has 1680 divisors, whose sum is σ = 619792225945200. Its totient is φ = 43663207956480.

The previous prime is 165369406906343. The next prime is 165369406906399. The reversal of 165369406906368 is 863609604963561.

165369406906368 is a `hidden beast` number, since 1 + 65 + 36 + 94 + 0 + 6 + 90 + 6 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 165369406906296 and 165369406906305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25328440128 + ... + 25328446656.

It is an arithmetic number, because the mean of its divisors is an integer number (368923944015).

Almost surely, 2^{165369406906368} is an apocalyptic number.

165369406906368 is a gapful number since it is divisible by the number (18) 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 165369406906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309896112972600).

165369406906368 is an abundant number, since it is smaller than the sum of its proper divisors (454422819038832).

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

165369406906368 is an equidigital number, since it uses as much as digits as its factorization.

165369406906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 165369406906368 in words is "one hundred sixty-five trillion, three hundred sixty-nine billion, four hundred six million, nine hundred six thousand, three hundred sixty-eight".