165117769344 has 192 divisors, whose sum is σ = 522627094080. Its totient is φ = 50035223040.

The previous prime is 165117769283. The next prime is 165117769351. The reversal of 165117769344 is 443967711561.

It is a happy number.

165117769344 is a `hidden beast` number, since 16 + 511 + 7 + 76 + 9 + 3 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479469 + ... + 1587155.

It is an arithmetic number, because the mean of its divisors is an integer number (2722016115).

Almost surely, 2^165117769344 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 165117769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261313547040).

165117769344 is an abundant number, since it is smaller than the sum of its proper divisors (357509324736).

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

165117769344 is a wasteful number, since it uses less digits than its factorization.

165117769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107740 (or 107703 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 165117769344 in words is "one hundred sixty-five billion, one hundred seventeen million, seven hundred sixty-nine thousand, three hundred forty-four".