164864083648 has 168 divisors, whose sum is σ = 364105098560. Its totient is φ = 74005747200.

The previous prime is 164864083633. The next prime is 164864083649. The reversal of 164864083648 is 846380468461.

It is a junction number, because it is equal to n+sod(n) for n = 164864083592 and 164864083601.

It is not an unprimeable number, because it can be changed into a prime (164864083649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266339083 + ... + 266339701.

Almost surely, 2^164864083648 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 164864083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182052549280).

164864083648 is an abundant number, since it is smaller than the sum of its proper divisors (199241014912).

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

164864083648 is a wasteful number, since it uses less digits than its factorization.

164864083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 58.

The spelling of 164864083648 in words is "one hundred sixty-four billion, eight hundred sixty-four million, eighty-three thousand, six hundred forty-eight".