164253007872 has 324 divisors, whose sum is σ = 495311858496. Its totient is φ = 54464348160.

The previous prime is 164253007771. The next prime is 164253007873. The reversal of 164253007872 is 278700352461.

164253007872 is a `hidden beast` number, since 1 + 6 + 42 + 530 + 0 + 7 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164253007873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 859963297 + ... + 859963487.

It is an arithmetic number, because the mean of its divisors is an integer number (1528740304).

Almost surely, 2^164253007872 is an apocalyptic number.

164253007872 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 164253007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247655929248).

164253007872 is an abundant number, since it is smaller than the sum of its proper divisors (331058850624).

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

164253007872 is an frugal number, since it uses more digits than its factorization.

164253007872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 164253007872 in words is "one hundred sixty-four billion, two hundred fifty-three million, seven thousand, eight hundred seventy-two".