11626572727361 has 2 divisors, whose sum is σ = 11626572727362. Its totient is φ = 11626572727360.

The previous prime is 11626572727349. The next prime is 11626572727387. The reversal of 11626572727361 is 16372727562611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6684065646736 + 4942507080625 = 2585356^2 + 2223175^2 .

It is a cyclic number.

It is not a de Polignac number, because 11626572727361 - 2¹⁰ = 11626572726337 is a prime.

It is a super-2 number, since 2×11626572727361² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11626572727297 and 11626572727306.

It is not a weakly prime, because it can be changed into another prime (11626572727331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5813286363680 + 5813286363681.

It is an arithmetic number, because the mean of its divisors is an integer number (5813286363681).

Almost surely, 2^{11626572727361} is an apocalyptic number.

It is an amenable number.

11626572727361 is a deficient number, since it is larger than the sum of its proper divisors (1).

11626572727361 is an equidigital number, since it uses as much as digits as its factorization.

11626572727361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8890560, while the sum is 56.

The spelling of 11626572727361 in words is "eleven trillion, six hundred twenty-six billion, five hundred seventy-two million, seven hundred twenty-seven thousand, three hundred sixty-one".