164175255648 has 384 divisors, whose sum is σ = 513963273600. Its totient is φ = 51523153920.

The previous prime is 164175255631. The next prime is 164175255733. The reversal of 164175255648 is 846552571461.

164175255648 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 75 + 2 + 5 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164175255594 and 164175255603.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 83209990 + ... + 83211962.

It is an arithmetic number, because the mean of its divisors is an integer number (1338446025).

Almost surely, 2^164175255648 is an apocalyptic number.

164175255648 is a gapful number since it is divisible by the number (18) 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 164175255648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256981636800).

164175255648 is an abundant number, since it is smaller than the sum of its proper divisors (349788017952).

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

164175255648 is an equidigital number, since it uses as much as digits as its factorization.

164175255648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2048 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 164175255648 in words is "one hundred sixty-four billion, one hundred seventy-five million, two hundred fifty-five thousand, six hundred forty-eight".