8721910010944 has 189 divisors, whose sum is σ = 19050520641453. Its totient is φ = 3960146571264.

The previous prime is 8721910010939. The next prime is 8721910010977. The reversal of 8721910010944 is 4490100191278.

The square root of 8721910010944 is 2953288.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8428059284544 + 293850726400 = 2903112^2 + 542080^2 .

It is a super-2 number, since 2×8721910010944² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8721910010894 and 8721910010903.

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, 22421362302 + ... + 22421362690.

Almost surely, 2^{8721910010944} is an apocalyptic number.

8721910010944 is the 2953288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8721910010944

8721910010944 is an abundant number, since it is smaller than the sum of its proper divisors (10328610630509).

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

8721910010944 is an frugal number, since it uses more digits than its factorization.

8721910010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 8721910010944 in words is "eight trillion, seven hundred twenty-one billion, nine hundred ten million, ten thousand, nine hundred forty-four".