164308346048 has 168 divisors, whose sum is σ = 416750967360. Its totient is φ = 63553835520.

The previous prime is 164308346011. The next prime is 164308346057. The reversal of 164308346048 is 840643803461.

It is a junction number, because it is equal to n+sod(n) for n = 164308345993 and 164308346011.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4777811 + ... + 4812077.

It is an arithmetic number, because the mean of its divisors is an integer number (2480660520).

Almost surely, 2^164308346048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164308346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208375483680).

164308346048 is an abundant number, since it is smaller than the sum of its proper divisors (252442621312).

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

164308346048 is a wasteful number, since it uses less digits than its factorization.

164308346048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34443 (or 34426 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 164308346048 in words is "one hundred sixty-four billion, three hundred eight million, three hundred forty-six thousand, forty-eight".