163170417472128 has 1024 divisors, whose sum is σ = 545967765504000. Its totient is φ = 47543169024000.

The previous prime is 163170417472099. The next prime is 163170417472129. The reversal of 163170417472128 is 821274714071361.

163170417472128 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 7 + 0 + 41 + 7 + 472 + 128 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (163170417472129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107988362893 + ... + 107988364403.

It is an arithmetic number, because the mean of its divisors is an integer number (533171646000).

Almost surely, 2^{163170417472128} is an apocalyptic number.

163170417472128 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 163170417472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272983882752000).

163170417472128 is an abundant number, since it is smaller than the sum of its proper divisors (382797348031872).

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

163170417472128 is a wasteful number, since it uses less digits than its factorization.

163170417472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 163170417472128 in words is "one hundred sixty-three trillion, one hundred seventy billion, four hundred seventeen million, four hundred seventy-two thousand, one hundred twenty-eight".