8217378136071 has 160 divisors (see below), whose sum is σ = 13990178442240. Its totient is φ = 4765019083776.

The previous prime is 8217378136043. The next prime is 8217378136081. The reversal of 8217378136071 is 1706318737128.

8217378136071 is a `hidden beast` number, since 8 + 2 + 17 + 3 + 7 + 8 + 13 + 607 + 1 = 666.

It is not a de Polignac number, because 8217378136071 - 2⁵ = 8217378136039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8217378135999 and 8217378136017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8217378136081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3391405366 + ... + 3391407788.

It is an arithmetic number, because the mean of its divisors is an integer number (87438615264).

Almost surely, 2^{8217378136071} is an apocalyptic number.

8217378136071 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8217378136071 is a deficient number, since it is larger than the sum of its proper divisors (5772800306169).

8217378136071 is a wasteful number, since it uses less digits than its factorization.

8217378136071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 8217378136071 in words is "eight trillion, two hundred seventeen billion, three hundred seventy-eight million, one hundred thirty-six thousand, seventy-one".