164214227344 has 80 divisors (see below), whose sum is σ = 343631474928. Its totient is φ = 75732074496.

The previous prime is 164214227323. The next prime is 164214227369. The reversal of 164214227344 is 443722412461.

It can be written as a sum of positive squares in 8 ways, for example, as 14181951744 + 150032275600 = 119088^2 + 387340^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164214227297 and 164214227306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13501714 + ... + 13513870.

Almost surely, 2^164214227344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164214227344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171815737464).

164214227344 is an abundant number, since it is smaller than the sum of its proper divisors (179417247584).

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

164214227344 is a wasteful number, since it uses less digits than its factorization.

164214227344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13172 (or 13166 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The spelling of 164214227344 in words is "one hundred sixty-four billion, two hundred fourteen million, two hundred twenty-seven thousand, three hundred forty-four".