164063344400 has 120 divisors (see below), whose sum is σ = 406442111040. Its totient is φ = 63610693120.

The previous prime is 164063344381. The next prime is 164063344429. The reversal of 164063344400 is 4443360461.

It is a super-2 number, since 2×164063344400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1712981 + ... + 1806219.

It is an arithmetic number, because the mean of its divisors is an integer number (3387017592).

Almost surely, 2^164063344400 is an apocalyptic number.

164063344400 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 164063344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203221055520).

164063344400 is an abundant number, since it is smaller than the sum of its proper divisors (242378766640).

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

164063344400 is a wasteful number, since it uses less digits than its factorization.

164063344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93393 (or 93382 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 164063344400 in words is "one hundred sixty-four billion, sixty-three million, three hundred forty-four thousand, four hundred".