164396692224 has 432 divisors, whose sum is σ = 510692582400. Its totient is φ = 50745139200.

The previous prime is 164396692217. The next prime is 164396692231. The reversal of 164396692224 is 422296693461.

164396692224 is a `hidden beast` number, since 164 + 396 + 6 + 92 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (164396692217) and next prime (164396692231).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287909859 + ... + 287910429.

Almost surely, 2^164396692224 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 164396692224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255346291200).

164396692224 is an abundant number, since it is smaller than the sum of its proper divisors (346295890176).

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

164396692224 is a wasteful number, since it uses less digits than its factorization.

164396692224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 775 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 164396692224 in words is "one hundred sixty-four billion, three hundred ninety-six million, six hundred ninety-two thousand, two hundred twenty-four".