165963002381568 has 360 divisors, whose sum is σ = 570853324464192. Its totient is φ = 46974837399552.

The previous prime is 165963002381567. The next prime is 165963002381597. The reversal of 165963002381568 is 865183200369561.

It is a happy number.

165963002381568 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 6 + 30 + 0 + 2 + 38 + 1 + 568 = 666.

It is a super-2 number, since 2×165963002381568² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165963002381567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10188396 + ... + 20874132.

Almost surely, 2^{165963002381568} is an apocalyptic number.

165963002381568 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 165963002381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285426662232096).

165963002381568 is an abundant number, since it is smaller than the sum of its proper divisors (404890322082624).

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

165963002381568 is a wasteful number, since it uses less digits than its factorization.

165963002381568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685879 (or 10685856 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 165963002381568 in words is "one hundred sixty-five trillion, nine hundred sixty-three billion, two million, three hundred eighty-one thousand, five hundred sixty-eight".