164031796224 has 264 divisors, whose sum is σ = 499550207520. Its totient is φ = 53745721344.

The previous prime is 164031796177. The next prime is 164031796261. The reversal of 164031796224 is 422697130461.

164031796224 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 3 + 17 + 9 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164031796224.

It is a congruent number.

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, 14675502 + ... + 14686674.

Almost surely, 2^164031796224 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 164031796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249775103760).

164031796224 is an abundant number, since it is smaller than the sum of its proper divisors (335518411296).

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

164031796224 is an equidigital number, since it uses as much as digits as its factorization.

164031796224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11267 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 164031796224 in words is "one hundred sixty-four billion, thirty-one million, seven hundred ninety-six thousand, two hundred twenty-four".