10004635141663 has 16 divisors (see below), whose sum is σ = 10065631758336. Its totient is φ = 9943838609760.

The previous prime is 10004635141651. The next prime is 10004635141679. The reversal of 10004635141663 is 36614153640001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004635141663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004635141603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207700420 + ... + 207748582.

It is an arithmetic number, because the mean of its divisors is an integer number (629101984896).

Almost surely, 2^{10004635141663} is an apocalyptic number.

10004635141663 is a deficient number, since it is larger than the sum of its proper divisors (60996616673).

10004635141663 is an equidigital number, since it uses as much as digits as its factorization.

10004635141663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50214.

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 10004635141663 its reverse (36614153640001), we get a palindrome (46618788781664).

The spelling of 10004635141663 in words is "ten trillion, four billion, six hundred thirty-five million, one hundred forty-one thousand, six hundred sixty-three".