11563148746301 has 2 divisors, whose sum is σ = 11563148746302. Its totient is φ = 11563148746300.

The previous prime is 11563148746211. The next prime is 11563148746327. The reversal of 11563148746301 is 10364784136511.

11563148746301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7588013983225 + 3975134763076 = 2754635^2 + 1993774^2 .

It is a cyclic number.

It is not a de Polignac number, because 11563148746301 - 2³⁰ = 11562075004477 is a prime.

It is a super-2 number, since 2×11563148746301² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11563148746301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11563148746601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5781574373150 + 5781574373151.

It is an arithmetic number, because the mean of its divisors is an integer number (5781574373151).

Almost surely, 2^{11563148746301} is an apocalyptic number.

It is an amenable number.

11563148746301 is a deficient number, since it is larger than the sum of its proper divisors (1).

11563148746301 is an equidigital number, since it uses as much as digits as its factorization.

11563148746301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 11563148746301 in words is "eleven trillion, five hundred sixty-three billion, one hundred forty-eight million, seven hundred forty-six thousand, three hundred one".