164334127104 has 864 divisors, whose sum is σ = 599499351360. Its totient is φ = 44757909504.

The previous prime is 164334127091. The next prime is 164334127109. The reversal of 164334127104 is 401721433461.

164334127104 is a `hidden beast` number, since 1 + 6 + 43 + 341 + 271 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164334127109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 560867182 + ... + 560867474.

It is an arithmetic number, because the mean of its divisors is an integer number (693864990).

Almost surely, 2^164334127104 is an apocalyptic number.

164334127104 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 164334127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299749675680).

164334127104 is an abundant number, since it is smaller than the sum of its proper divisors (435165224256).

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

164334127104 is an equidigital number, since it uses as much as digits as its factorization.

164334127104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 164334127104 in words is "one hundred sixty-four billion, three hundred thirty-four million, one hundred twenty-seven thousand, one hundred four".