96457010490009 has 81 divisors (see below), whose sum is σ = 157727765905437. Its totient is φ = 56772185101632.

The previous prime is 96457010490007. The next prime is 96457010490017. The reversal of 96457010490009 is 90009401075469.

It is a happy number.

The square root of 96457010490009 is 9821253.

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

96457010490009 is a `hidden beast` number, since 9 + 64 + 570 + 1 + 0 + 4 + 9 + 0 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63430472705625 + 33026537784384 = 7964325^2 + 5746872^2 .

It is not a de Polignac number, because 96457010490009 - 2¹ = 96457010490007 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96457010490007) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8809658467 + ... + 8809669415.

Almost surely, 2^{96457010490009} is an apocalyptic number.

96457010490009 is the 9821253-rd square number.

96457010490009 is the 4910627-th centered octagonal number.

It is an amenable number.

96457010490009 is a deficient number, since it is larger than the sum of its proper divisors (61270755415428).

96457010490009 is an equidigital number, since it uses as much as digits as its factorization.

96457010490009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21976 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 96457010490009 in words is "ninety-six trillion, four hundred fifty-seven billion, ten million, four hundred ninety thousand, nine".