164020821444 has 36 divisors (see below), whose sum is σ = 424250242416. Its totient is φ = 53402127408.

The previous prime is 164020821431. The next prime is 164020821463. The reversal of 164020821444 is 444128020461.

164020821444 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 208 + 2 + 1 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164020821399 and 164020821408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52976754 + ... + 52979849.

It is an arithmetic number, because the mean of its divisors is an integer number (11784728956).

Almost surely, 2^164020821444 is an apocalyptic number.

It is an amenable number.

164020821444 is an abundant number, since it is smaller than the sum of its proper divisors (260229420972).

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

164020821444 is a wasteful number, since it uses less digits than its factorization.

164020821444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105956656 (or 105956651 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 164020821444 in words is "one hundred sixty-four billion, twenty million, eight hundred twenty-one thousand, four hundred forty-four".