171225648 has 180 divisors, whose sum is σ = 545423424. Its totient is φ = 50054400.

The previous prime is 171225643. The next prime is 171225667. The reversal of 171225648 is 846522171.

171225648 is a `hidden beast` number, since 1 + 7 + 1 + 2 + 2 + 5 + 648 = 666.

171225648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (26880) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (171225641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 539986 + ... + 540302.

Almost surely, 2^171225648 is an apocalyptic number.

171225648 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 171225648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272711712).

171225648 is an abundant number, since it is smaller than the sum of its proper divisors (374197776).

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

171225648 is a wasteful number, since it uses less digits than its factorization.

171225648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 171225648 is about 13085.3218531299. The cubic root of 171225648 is about 555.2939470395.

The spelling of 171225648 in words is "one hundred seventy-one million, two hundred twenty-five thousand, six hundred forty-eight".