13577966667 has 12 divisors (see below), whose sum is σ = 19732943464. Its totient is φ = 8996443200.

The previous prime is 13577966653. The next prime is 13577966669. The reversal of 13577966667 is 76666977531.

13577966667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13577966667 - 2¹⁶ = 13577901131 is a prime.

It is a super-2 number, since 2×13577966667² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13577966669) 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 in 11 ways as a sum of consecutive naturals, for example, 4626334 + ... + 4629267.

Almost surely, 2^13577966667 is an apocalyptic number.

13577966667 is a deficient number, since it is larger than the sum of its proper divisors (6154976797).

13577966667 is a wasteful number, since it uses less digits than its factorization.

13577966667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255770 (or 9255767 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 63.

The spelling of 13577966667 in words is "thirteen billion, five hundred seventy-seven million, nine hundred sixty-six thousand, six hundred sixty-seven".