10643653101641 has 16 divisors (see below), whose sum is σ = 12879866764800. Its totient is φ = 8586375060480.

The previous prime is 10643653101629. The next prime is 10643653101647. The reversal of 10643653101641 is 14610135634601.

It is not a de Polignac number, because 10643653101641 - 2³⁴ = 10626473232457 is a prime.

It is a super-3 number, since 3×10643653101641³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10643653101647) 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 15 ways as a sum of consecutive naturals, for example, 10567376 + ... + 11530686.

It is an arithmetic number, because the mean of its divisors is an integer number (804991672800).

Almost surely, 2^{10643653101641} is an apocalyptic number.

It is an amenable number.

10643653101641 is a deficient number, since it is larger than the sum of its proper divisors (2236213663159).

10643653101641 is an equidigital number, since it uses as much as digits as its factorization.

10643653101641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056184.

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 10643653101641 in words is "ten trillion, six hundred forty-three billion, six hundred fifty-three million, one hundred one thousand, six hundred forty-one".