164261823264 has 480 divisors, whose sum is σ = 637735545216. Its totient is φ = 40154849280.

The previous prime is 164261823251. The next prime is 164261823301. The reversal of 164261823264 is 462328162461.

164261823264 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 618 + 2 + 3 + 26 + 4 = 666.

It is a super-2 number, since 2×164261823264² (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 3368722 + ... + 3417134.

Almost surely, 2^164261823264 is an apocalyptic number.

164261823264 is a gapful number since it is divisible by the number (14) 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 164261823264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318867772608).

164261823264 is an abundant number, since it is smaller than the sum of its proper divisors (473473721952).

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

164261823264 is a wasteful number, since it uses less digits than its factorization.

164261823264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48470 (or 48453 counting only the distinct ones).

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

The spelling of 164261823264 in words is "one hundred sixty-four billion, two hundred sixty-one million, eight hundred twenty-three thousand, two hundred sixty-four".