8171333001216 has 2520 divisors, whose sum is σ = 32701237607808. Its totient is φ = 2023302758400.

The previous prime is 8171333001179. The next prime is 8171333001233. The reversal of 8171333001216 is 6121003331718.

8171333001216 is a `hidden beast` number, since 8 + 1 + 7 + 133 + 300 + 1 + 216 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 121960194015 + ... + 121960194081.

Almost surely, 2^{8171333001216} 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 8171333001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350618803904).

8171333001216 is an abundant number, since it is smaller than the sum of its proper divisors (24529904606592).

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

8171333001216 is a wasteful number, since it uses less digits than its factorization.

8171333001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 8171333001216 in words is "eight trillion, one hundred seventy-one billion, three hundred thirty-three million, one thousand, two hundred sixteen".