164842020864 has 448 divisors, whose sum is σ = 522158976000. Its totient is φ = 51279298560.

The previous prime is 164842020859. The next prime is 164842020881. The reversal of 164842020864 is 468020248461.

164842020864 is a `hidden beast` number, since 16 + 4 + 8 + 420 + 208 + 6 + 4 = 666.

It is a super-2 number, since 2×164842020864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198844002 + ... + 198844830.

Almost surely, 2^164842020864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164842020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261079488000).

164842020864 is an abundant number, since it is smaller than the sum of its proper divisors (357316955136).

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

164842020864 is an equidigital number, since it uses as much as digits as its factorization.

164842020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 164842020864 in words is "one hundred sixty-four billion, eight hundred forty-two million, twenty thousand, eight hundred sixty-four".