164065886208 has 810 divisors, whose sum is σ = 592149102636. Its totient is φ = 45259554816.

The previous prime is 164065886207. The next prime is 164065886219. The reversal of 164065886208 is 802688560461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

164065886208 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 6 + 5 + 8 + 8 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (164065886207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5657444338 + ... + 5657444366.

Almost surely, 2^164065886208 is an apocalyptic number.

164065886208 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 164065886208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296074551318).

164065886208 is an abundant number, since it is smaller than the sum of its proper divisors (428083216428).

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

164065886208 is an frugal number, since it uses more digits than its factorization.

164065886208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 164065886208 in words is "one hundred sixty-four billion, sixty-five million, eight hundred eighty-six thousand, two hundred eight".