171046921344 has 256 divisors, whose sum is σ = 508075545600. Its totient is φ = 50629754880.

The previous prime is 171046921343. The next prime is 171046921361. The reversal of 171046921344 is 443129640171.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 171046921296 and 171046921305.

It is not an unprimeable number, because it can be changed into a prime (171046921343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26768902 + ... + 26775290.

It is an arithmetic number, because the mean of its divisors is an integer number (1984670100).

Almost surely, 2^171046921344 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 171046921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254037772800).

171046921344 is an abundant number, since it is smaller than the sum of its proper divisors (337028624256).

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

171046921344 is a wasteful number, since it uses less digits than its factorization.

171046921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 171046921344 in words is "one hundred seventy-one billion, forty-six million, nine hundred twenty-one thousand, three hundred forty-four".