164843824454400 has 1728 divisors, whose sum is σ = 680608438272000. Its totient is φ = 34208804044800.

The previous prime is 164843824454369. The next prime is 164843824454443. The reversal of 164843824454400 is 4454428348461.

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, 61901547469 + ... + 61901550131.

It is an arithmetic number, because the mean of its divisors is an integer number (393870624000).

Almost surely, 2^{164843824454400} is an apocalyptic number.

164843824454400 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 164843824454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340304219136000).

164843824454400 is an abundant number, since it is smaller than the sum of its proper divisors (515764613817600).

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

164843824454400 is a wasteful number, since it uses less digits than its factorization.

164843824454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 57.

The spelling of 164843824454400 in words is "one hundred sixty-four trillion, eight hundred forty-three billion, eight hundred twenty-four million, four hundred fifty-four thousand, four hundred".