10497846681 has 135 divisors (see below), whose sum is σ = 19261056893. Its totient is φ = 5508195840.

The previous prime is 10497846679. The next prime is 10497846683. The reversal of 10497846681 is 18664879401.

The square root of 10497846681 is 102459.

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

10497846681 is a `hidden beast` number, since 10 + 4 + 97 + 8 + 466 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (10497846679) and next prime (10497846683).

It can be written as a sum of positive squares in 4 ways, for example, as 739568025 + 9758278656 = 27195^2 + 98784^2 .

It is not a de Polignac number, because 10497846681 - 2¹ = 10497846679 is a prime.

It is a super-2 number, since 2×10497846681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10497846683) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 256045021 + ... + 256045061.

Almost surely, 2^10497846681 is an apocalyptic number.

10497846681 is the 102459-th square number.

10497846681 is the 51230-th centered octagonal number.

It is an amenable number.

10497846681 is a deficient number, since it is larger than the sum of its proper divisors (8763210212).

10497846681 is an frugal number, since it uses more digits than its factorization.

10497846681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10497846681 in words is "ten billion, four hundred ninety-seven million, eight hundred forty-six thousand, six hundred eighty-one".