11653611898961 has 2 divisors, whose sum is σ = 11653611898962. Its totient is φ = 11653611898960.

The previous prime is 11653611898937. The next prime is 11653611898969. The reversal of 11653611898961 is 16989811635611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11598554092225 + 55057806736 = 3405665^2 + 234644^2 .

It is a cyclic number.

It is not a de Polignac number, because 11653611898961 - 2³⁰ = 11652538157137 is a prime.

It is not a weakly prime, because it can be changed into another prime (11653611898969) 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 as a sum of consecutive naturals, namely, 5826805949480 + 5826805949481.

It is an arithmetic number, because the mean of its divisors is an integer number (5826805949481).

Almost surely, 2^{11653611898961} is an apocalyptic number.

It is an amenable number.

11653611898961 is a deficient number, since it is larger than the sum of its proper divisors (1).

11653611898961 is an equidigital number, since it uses as much as digits as its factorization.

11653611898961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16796160, while the sum is 65.

The spelling of 11653611898961 in words is "eleven trillion, six hundred fifty-three billion, six hundred eleven million, eight hundred ninety-eight thousand, nine hundred sixty-one".