165705968064 has 224 divisors, whose sum is σ = 547002695680. Its totient is φ = 43103674368.

The previous prime is 165705968039. The next prime is 165705968089. The reversal of 165705968064 is 460869507561.

It is an interprime number because it is at equal distance from previous prime (165705968039) and next prime (165705968089).

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 165705967995 and 165705968013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210497 + ... + 1340415.

It is an arithmetic number, because the mean of its divisors is an integer number (2441976320).

Almost surely, 2^165705968064 is an apocalyptic number.

165705968064 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 165705968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273501347840).

165705968064 is an abundant number, since it is smaller than the sum of its proper divisors (381296727616).

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

165705968064 is a wasteful number, since it uses less digits than its factorization.

165705968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130027 (or 130017 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 165705968064 in words is "one hundred sixty-five billion, seven hundred five million, nine hundred sixty-eight thousand, sixty-four".