8271118106496 has 1536 divisors, whose sum is σ = 30290660928000. Its totient is φ = 2239909023744.

The previous prime is 8271118106473. The next prime is 8271118106509. The reversal of 8271118106496 is 6946018111728.

8271118106496 is a `hidden beast` number, since 8 + 2 + 71 + 1 + 1 + 81 + 0 + 6 + 496 = 666.

It is a super-2 number, since 2×8271118106496² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21823530435 + ... + 21823530813.

It is an arithmetic number, because the mean of its divisors is an integer number (19720482375).

Almost surely, 2^{8271118106496} is an apocalyptic number.

8271118106496 is a gapful number since it is divisible by the number (86) 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 8271118106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145330464000).

8271118106496 is an abundant number, since it is smaller than the sum of its proper divisors (22019542821504).

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

8271118106496 is an equidigital number, since it uses as much as digits as its factorization.

8271118106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 8271118106496 in words is "eight trillion, two hundred seventy-one billion, one hundred eighteen million, one hundred six thousand, four hundred ninety-six".