11616555406009 has 2 divisors, whose sum is σ = 11616555406010. Its totient is φ = 11616555406008.

The previous prime is 11616555405991. The next prime is 11616555406037. The reversal of 11616555406009 is 90060455561611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10151615545600 + 1464939860409 = 3186160^2 + 1210347^2 .

It is a cyclic number.

It is not a de Polignac number, because 11616555406009 - 2²³ = 11616547017401 is a prime.

It is not a weakly prime, because it can be changed into another prime (11616555406039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5808277703004 + 5808277703005.

It is an arithmetic number, because the mean of its divisors is an integer number (5808277703005).

Almost surely, 2^{11616555406009} is an apocalyptic number.

It is an amenable number.

11616555406009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11616555406009 is an equidigital number, since it uses as much as digits as its factorization.

11616555406009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972000, while the sum is 49.

The spelling of 11616555406009 in words is "eleven trillion, six hundred sixteen billion, five hundred fifty-five million, four hundred six thousand, nine".