163850579592128 has 896 divisors, whose sum is σ = 422651497218048. Its totient is φ = 61914378240000.

The previous prime is 163850579592127. The next prime is 163850579592143. The reversal of 163850579592128 is 821295975058361.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163850579592127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139923636983 + ... + 139923638153.

It is an arithmetic number, because the mean of its divisors is an integer number (471709260288).

Almost surely, 2^{163850579592128} 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 163850579592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211325748609024).

163850579592128 is an abundant number, since it is smaller than the sum of its proper divisors (258800917625920).

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

163850579592128 is a wasteful number, since it uses less digits than its factorization.

163850579592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 71.

The spelling of 163850579592128 in words is "one hundred sixty-three trillion, eight hundred fifty billion, five hundred seventy-nine million, five hundred ninety-two thousand, one hundred twenty-eight".