164423726208 has 384 divisors, whose sum is σ = 562373360640. Its totient is φ = 45121536000.

The previous prime is 164423726197. The next prime is 164423726231. The reversal of 164423726208 is 802627324461.

It is a happy number.

164423726208 is a `hidden beast` number, since 16 + 4 + 4 + 2 + 3 + 7 + 2 + 620 + 8 = 666.

164423726208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×164423726208³ (a number of 35 digits) contains 333 as substring.

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, 34245408 + ... + 34250208.

It is an arithmetic number, because the mean of its divisors is an integer number (1464513960).

Almost surely, 2^164423726208 is an apocalyptic number.

164423726208 is a gapful number since it is divisible by the number (18) 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 164423726208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281186680320).

164423726208 is an abundant number, since it is smaller than the sum of its proper divisors (397949634432).

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

164423726208 is a wasteful number, since it uses less digits than its factorization.

164423726208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 164423726208 in words is "one hundred sixty-four billion, four hundred twenty-three million, seven hundred twenty-six thousand, two hundred eight".