164243226420 has 576 divisors, whose sum is σ = 677806133760. Its totient is φ = 32613912576.

The previous prime is 164243226401. The next prime is 164243226467. The reversal of 164243226420 is 24622342461.

164243226420 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 4 + 3 + 2 + 2 + 642 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5833617 + ... + 5861703.

It is an arithmetic number, because the mean of its divisors is an integer number (1176746760).

Almost surely, 2^164243226420 is an apocalyptic number.

164243226420 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 164243226420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338903066880).

164243226420 is an abundant number, since it is smaller than the sum of its proper divisors (513562907340).

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

164243226420 is a wasteful number, since it uses less digits than its factorization.

164243226420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28149 (or 28134 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 164243226420 its reverse (24622342461), we get a palindrome (188865568881).

The spelling of 164243226420 in words is "one hundred sixty-four billion, two hundred forty-three million, two hundred twenty-six thousand, four hundred twenty".