10008497831641 has 9 divisors (see below), whose sum is σ = 10025448668221. Its totient is φ = 9991575622912.

The previous prime is 10008497831599. The next prime is 10008497831677. The reversal of 10008497831641 is 14613879480001.

It is a happy number.

The square root of 10008497831641 is 3163621.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9233217581641 + 775280250000 = 3038621^2 + 880500^2 .

It is not a de Polignac number, because 10008497831641 - 2¹¹ = 10008497829593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10008497831681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2141769081 + ... + 2141773753.

Almost surely, 2^{10008497831641} is an apocalyptic number.

10008497831641 is the 3163621-st square number.

10008497831641 is the 1581811-st centered octagonal number.

It is an amenable number.

10008497831641 is a deficient number, since it is larger than the sum of its proper divisors (16950836580).

10008497831641 is an frugal number, since it uses more digits than its factorization.

10008497831641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 10008497831641 in words is "ten trillion, eight billion, four hundred ninety-seven million, eight hundred thirty-one thousand, six hundred forty-one".