165842660064 has 384 divisors, whose sum is σ = 513729216000. Its totient is φ = 46473412608.

The previous prime is 165842660017. The next prime is 165842660101. The reversal of 165842660064 is 460066248561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 165842659995 and 165842660022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38664832 + ... + 38669120.

It is an arithmetic number, because the mean of its divisors is an integer number (1337836500).

Almost surely, 2^165842660064 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 165842660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256864608000).

165842660064 is an abundant number, since it is smaller than the sum of its proper divisors (347886555936).

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

165842660064 is a wasteful number, since it uses less digits than its factorization.

165842660064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 165842660064 in words is "one hundred sixty-five billion, eight hundred forty-two million, six hundred sixty thousand, sixty-four".