171216099648 has 420 divisors, whose sum is σ = 563307012576. Its totient is φ = 51378624000.

The previous prime is 171216099619. The next prime is 171216099707. The reversal of 171216099648 is 846990612171.

171216099648 is a `hidden beast` number, since 1 + 7 + 1 + 21 + 609 + 9 + 6 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 171216099594 and 171216099603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 67115973 + ... + 67118523.

Almost surely, 2^171216099648 is an apocalyptic number.

171216099648 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 171216099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281653506288).

171216099648 is an abundant number, since it is smaller than the sum of its proper divisors (392090912928).

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

171216099648 is a wasteful number, since it uses less digits than its factorization.

171216099648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 171216099648 in words is "one hundred seventy-one billion, two hundred sixteen million, ninety-nine thousand, six hundred forty-eight".