164002944000 has 1408 divisors, whose sum is σ = 684974803968. Its totient is φ = 33973862400.

The previous prime is 164002943959. The next prime is 164002944013. The reversal of 164002944000 is 449200461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1690751952 + ... + 1690752048.

Almost surely, 2^164002944000 is an apocalyptic number.

164002944000 is a gapful number since it is divisible by the number (10) 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 164002944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342487401984).

164002944000 is an abundant number, since it is smaller than the sum of its proper divisors (520971859968).

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

164002944000 is a wasteful number, since it uses less digits than its factorization.

164002944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 164002944000 in words is "one hundred sixty-four billion, two million, nine hundred forty-four thousand".