171104268048 has 640 divisors, whose sum is σ = 580385710080. Its totient is φ = 42268262400.

The previous prime is 171104267941. The next prime is 171104268079. The reversal of 171104268048 is 840862401171.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 868549486 + ... + 868549682.

It is an arithmetic number, because the mean of its divisors is an integer number (906852672).

Almost surely, 2^171104268048 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 171104268048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290192855040).

171104268048 is an abundant number, since it is smaller than the sum of its proper divisors (409281442032).

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

171104268048 is a wasteful number, since it uses less digits than its factorization.

171104268048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 171104268048 in words is "one hundred seventy-one billion, one hundred four million, two hundred sixty-eight thousand, forty-eight".