164841223680 has 480 divisors, whose sum is σ = 655309182528. Its totient is φ = 37512806400.

The previous prime is 164841223667. The next prime is 164841223681. The reversal of 164841223680 is 86322148461.

164841223680 is a `hidden beast` number, since 16 + 484 + 122 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164841223681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38866360 + ... + 38870600.

Almost surely, 2^164841223680 is an apocalyptic number.

164841223680 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 164841223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327654591264).

164841223680 is an abundant number, since it is smaller than the sum of its proper divisors (490467958848).

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

164841223680 is a wasteful number, since it uses less digits than its factorization.

164841223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

It can be divided in two parts, 164841 and 223680, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 164841223680 in words is "one hundred sixty-four billion, eight hundred forty-one million, two hundred twenty-three thousand, six hundred eighty".