11577340617 has 16 divisors (see below), whose sum is σ = 15737492160. Its totient is φ = 7567889472.

The previous prime is 11577340603. The next prime is 11577340637. The reversal of 11577340617 is 71604377511.

It is a happy number.

It is not a de Polignac number, because 11577340617 - 2⁶ = 11577340553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11577340637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243558 + ... + 287184.

It is an arithmetic number, because the mean of its divisors is an integer number (983593260).

Almost surely, 2^11577340617 is an apocalyptic number.

It is an amenable number.

11577340617 is a deficient number, since it is larger than the sum of its proper divisors (4160151543).

11577340617 is a wasteful number, since it uses less digits than its factorization.

11577340617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45352.

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 11577340617 in words is "eleven billion, five hundred seventy-seven million, three hundred forty thousand, six hundred seventeen".