164892430467072 has 2304 divisors, whose sum is σ = 648140537640960. Its totient is φ = 40928524369920.

The previous prime is 164892430467043. The next prime is 164892430467077. The reversal of 164892430467072 is 270764034298461.

164892430467072 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 92 + 430 + 46 + 7 + 0 + 72 = 666.

164892430467072 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 (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164892430467077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155119877613 + ... + 155119878675.

It is an arithmetic number, because the mean of its divisors is an integer number (281310997240).

Almost surely, 2^{164892430467072} is an apocalyptic number.

164892430467072 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 164892430467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324070268820480).

164892430467072 is an abundant number, since it is smaller than the sum of its proper divisors (483248107173888).

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

164892430467072 is an equidigital number, since it uses as much as digits as its factorization.

164892430467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 164892430467072 in words is "one hundred sixty-four trillion, eight hundred ninety-two billion, four hundred thirty million, four hundred sixty-seven thousand, seventy-two".