10036166416321 has 8 divisors (see below), whose sum is σ = 10065144839400. Its totient is φ = 10007189259648.

The previous prime is 10036166416253. The next prime is 10036166416351. The reversal of 10036166416321 is 12361466163001.

It can be written as a sum of positive squares in 4 ways, for example, as 1018373631025 + 9017792785296 = 1009145^2 + 3002964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10036166416321 - 2¹⁵ = 10036166383553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10036166416351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16905885 + ... + 17489461.

It is an arithmetic number, because the mean of its divisors is an integer number (1258143104925).

Almost surely, 2^{10036166416321} is an apocalyptic number.

It is an amenable number.

10036166416321 is a deficient number, since it is larger than the sum of its proper divisors (28978423079).

10036166416321 is an equidigital number, since it uses as much as digits as its factorization.

10036166416321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633203.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 10036166416321 in words is "ten trillion, thirty-six billion, one hundred sixty-six million, four hundred sixteen thousand, three hundred twenty-one".