96430809166561 has 27 divisors (see below), whose sum is σ = 101765030193561. Its totient is φ = 91368611462304.

The previous prime is 96430809166541. The next prime is 96430809166583. The reversal of 96430809166561 is 16566190803469.

The square root of 96430809166561 is 9819919.

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 25208282016225 + 71222527150336 = 5020785^2 + 8439344^2 .

It is not a de Polignac number, because 96430809166561 - 2¹⁷ = 96430809035489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96430809166493 and 96430809166502.

It is not an unprimeable number, because it can be changed into a prime (96430809166501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24618534975 + ... + 24618538891.

Almost surely, 2^{96430809166561} is an apocalyptic number.

96430809166561 is the 9819919-th square number.

96430809166561 is the 4909960-th centered octagonal number.

It is an amenable number.

96430809166561 is a deficient number, since it is larger than the sum of its proper divisors (5334221027000).

96430809166561 is an frugal number, since it uses more digits than its factorization.

96430809166561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

The spelling of 96430809166561 in words is "ninety-six trillion, four hundred thirty billion, eight hundred nine million, one hundred sixty-six thousand, five hundred sixty-one".