171393601248 has 144 divisors (see below), whose sum is σ = 524532271536. Its totient is φ = 52888965120.

The previous prime is 171393601243. The next prime is 171393601277. The reversal of 171393601248 is 842106393171.

171393601248 is a `hidden beast` number, since 1 + 7 + 1 + 39 + 3 + 601 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171393601243) 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 23 ways as a sum of consecutive naturals, for example, 11715 + ... + 585597.

It is an arithmetic number, because the mean of its divisors is an integer number (3642585219).

Almost surely, 2^171393601248 is an apocalyptic number.

171393601248 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 171393601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262266135768).

171393601248 is an abundant number, since it is smaller than the sum of its proper divisors (353138670288).

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

171393601248 is a wasteful number, since it uses less digits than its factorization.

171393601248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573977 (or 573966 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 171393 and 601248, that added together give a square (772641 = 879²).

The spelling of 171393601248 in words is "one hundred seventy-one billion, three hundred ninety-three million, six hundred one thousand, two hundred forty-eight".