11736615617 has 2 divisors, whose sum is σ = 11736615618. Its totient is φ = 11736615616.

The previous prime is 11736615493. The next prime is 11736615637. The reversal of 11736615617 is 71651663711.

11736615617 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., 10551603841 + 1185011776 = 102721^2 + 34424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11736615617 is a prime.

It is a super-2 number, since 2×11736615617² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11736615637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5868307808 + 5868307809.

It is an arithmetic number, because the mean of its divisors is an integer number (5868307809).

Almost surely, 2^11736615617 is an apocalyptic number.

It is an amenable number.

11736615617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11736615617 is an equidigital number, since it uses as much as digits as its factorization.

11736615617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 158760, while the sum is 44.

The spelling of 11736615617 in words is "eleven billion, seven hundred thirty-six million, six hundred fifteen thousand, six hundred seventeen".