164385962208 has 576 divisors, whose sum is σ = 531734740992. Its totient is φ = 47845416960.

The previous prime is 164385962207. The next prime is 164385962263. The reversal of 164385962208 is 802269583461.

164385962208 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 8 + 5 + 9 + 622 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164385962203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 860659393 + ... + 860659583.

It is an arithmetic number, because the mean of its divisors is an integer number (923150592).

Almost surely, 2^164385962208 is an apocalyptic number.

164385962208 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 164385962208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265867370496).

164385962208 is an abundant number, since it is smaller than the sum of its proper divisors (367348778784).

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

164385962208 is a wasteful number, since it uses less digits than its factorization.

164385962208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 164385962208 in words is "one hundred sixty-four billion, three hundred eighty-five million, nine hundred sixty-two thousand, two hundred eight".