8162791843600 has 135 divisors (see below), whose sum is σ = 20504137546389. Its totient is φ = 3122652297600.

The previous prime is 8162791843597. The next prime is 8162791843621. The reversal of 8162791843600 is 63481972618.

The square root of 8162791843600 is 2857060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2938605063696 + 5224186779904 = 1714236^2 + 2285648^2 .

It is a super-3 number, since 3×8162791843600³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1314244495 + ... + 1314250705.

Almost surely, 2^{8162791843600} is an apocalyptic number.

8162791843600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8162791843600 is the 2857060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8162791843600

8162791843600 is an abundant number, since it is smaller than the sum of its proper divisors (12341345702789).

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

8162791843600 is an frugal number, since it uses more digits than its factorization.

8162791843600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12486 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 8162791843600 in words is "eight trillion, one hundred sixty-two billion, seven hundred ninety-one million, eight hundred forty-three thousand, six hundred".