164263228416 has 396 divisors, whose sum is σ = 584227154628. Its totient is φ = 44169560064.

The previous prime is 164263228391. The next prime is 164263228417. The reversal of 164263228416 is 614822362461.

164263228416 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 6 + 3 + 228 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149304960000 + 14958268416 = 386400^2 + 122304^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164263228417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7666230 + ... + 7687626.

Almost surely, 2^164263228416 is an apocalyptic number.

164263228416 is a gapful number since it is divisible by the number (16) 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 164263228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292113577314).

164263228416 is an abundant number, since it is smaller than the sum of its proper divisors (419963926212).

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

164263228416 is a wasteful number, since it uses less digits than its factorization.

164263228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21454 (or 21426 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 164263228416 in words is "one hundred sixty-four billion, two hundred sixty-three million, two hundred twenty-eight thousand, four hundred sixteen".