12436535202641 has 64 divisors (see below), whose sum is σ = 14756519990016. Its totient is φ = 10354661990400.

The previous prime is 12436535202617. The next prime is 12436535202643. The reversal of 12436535202641 is 14620253563421.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12436535202641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12436535202592 and 12436535202601.

It is not an unprimeable number, because it can be changed into a prime (12436535202643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612717605 + ... + 612737901.

It is an arithmetic number, because the mean of its divisors is an integer number (230570624844).

Almost surely, 2^{12436535202641} is an apocalyptic number.

12436535202641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12436535202641 is a deficient number, since it is larger than the sum of its proper divisors (2319984787375).

12436535202641 is a wasteful number, since it uses less digits than its factorization.

12436535202641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20882.

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 12436535202641 in words is "twelve trillion, four hundred thirty-six billion, five hundred thirty-five million, two hundred two thousand, six hundred forty-one".