164649107234304 has 1920 divisors, whose sum is σ = 652487588121600. Its totient is φ = 40510725488640.

The previous prime is 164649107234263. The next prime is 164649107234329. The reversal of 164649107234304 is 403432701946461.

164649107234304 is a `hidden beast` number, since 1 + 6 + 46 + 49 + 107 + 23 + 430 + 4 = 666.

164649107234304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18020035624 + ... + 18020044760.

It is an arithmetic number, because the mean of its divisors is an integer number (339837285480).

Almost surely, 2^{164649107234304} is an apocalyptic number.

164649107234304 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 164649107234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326243794060800).

164649107234304 is an abundant number, since it is smaller than the sum of its proper divisors (487838480887296).

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

164649107234304 is an frugal number, since it uses more digits than its factorization.

164649107234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 164649107234304 in words is "one hundred sixty-four trillion, six hundred forty-nine billion, one hundred seven million, two hundred thirty-four thousand, three hundred four".