164941441003584 has 210 divisors, whose sum is σ = 568764732477150. Its totient is φ = 47126125928448.

The previous prime is 164941441003531. The next prime is 164941441003601. The reversal of 164941441003584 is 485300144149461.

164941441003584 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 4 + 1 + 44 + 10 + 0 + 3 + 584 = 666.

164941441003584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 164720796609600 + 220644393984 = 12834360^2 + 469728^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 164941441003584.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 324413409 + ... + 324921440.

Almost surely, 2^{164941441003584} is an apocalyptic number.

164941441003584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164941441003584 is an abundant number, since it is smaller than the sum of its proper divisors (403823291473566).

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

164941441003584 is an equidigital number, since it uses as much as digits as its factorization.

164941441003584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649334887 (or 649334861 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 164941441003584 in words is "one hundred sixty-four trillion, nine hundred forty-one billion, four hundred forty-one million, three thousand, five hundred eighty-four".