164438047872 has 288 divisors, whose sum is σ = 551337433920. Its totient is φ = 46905965568.

The previous prime is 164438047841. The next prime is 164438047897. The reversal of 164438047872 is 278740834461.

164438047872 is a `hidden beast` number, since 1 + 6 + 443 + 80 + 47 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×164438047872³ (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 35 ways as a sum of consecutive naturals, for example, 41035693 + ... + 41039699.

It is an arithmetic number, because the mean of its divisors is an integer number (1914366090).

Almost surely, 2^164438047872 is an apocalyptic number.

164438047872 is a gapful number since it is divisible by the number (12) 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 164438047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275668716960).

164438047872 is an abundant number, since it is smaller than the sum of its proper divisors (386899386048).

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

164438047872 is a wasteful number, since it uses less digits than its factorization.

164438047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 164438047872 in words is "one hundred sixty-four billion, four hundred thirty-eight million, forty-seven thousand, eight hundred seventy-two".