164085941403648 has 1380 divisors, whose sum is σ = 565797315072528. Its totient is φ = 46988116623360.

The previous prime is 164085941403623. The next prime is 164085941403697. The reversal of 164085941403648 is 846304149580461.

164085941403648 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 8 + 594 + 1 + 4 + 0 + 36 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1976939053015 + ... + 1976939053097.

Almost surely, 2^{164085941403648} is an apocalyptic number.

164085941403648 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 164085941403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282898657536264).

164085941403648 is an abundant number, since it is smaller than the sum of its proper divisors (401711373668880).

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

164085941403648 is an frugal number, since it uses more digits than its factorization.

164085941403648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 164085941403648 in words is "one hundred sixty-four trillion, eighty-five billion, nine hundred forty-one million, four hundred three thousand, six hundred forty-eight".