8241125181696 has 243 divisors, whose sum is σ = 26122482346233. Its totient is φ = 2496851343360.

The previous prime is 8241125181673. The next prime is 8241125181727. The reversal of 8241125181696 is 6961815211428.

The square root of 8241125181696 is 2870736.

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

8241125181696 is a `hidden beast` number, since 8 + 2 + 4 + 112 + 518 + 1 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4652131334400 + 3588993847296 = 2156880^2 + 1894464^2 .

It is a super-2 number, since 2×8241125181696² (a number of 27 digits) contains 22 as substring.

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, 1515745890 + ... + 1515751326.

Almost surely, 2^{8241125181696} is an apocalyptic number.

8241125181696 is the 2870736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8241125181696

8241125181696 is an abundant number, since it is smaller than the sum of its proper divisors (17881357164537).

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

8241125181696 is an frugal number, since it uses more digits than its factorization.

8241125181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10918 (or 5453 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 8241125181696 in words is "eight trillion, two hundred forty-one billion, one hundred twenty-five million, one hundred eighty-one thousand, six hundred ninety-six".