13577677564 has 12 divisors (see below), whose sum is σ = 25921020888. Its totient is φ = 6171671600.

The previous prime is 13577677517. The next prime is 13577677567. The reversal of 13577677564 is 46577677531.

It is a junction number, because it is equal to n+sod(n) for n = 13577677499 and 13577677508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13577677567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154291747 + ... + 154291834.

It is an arithmetic number, because the mean of its divisors is an integer number (2160085074).

Almost surely, 2^13577677564 is an apocalyptic number.

It is an amenable number.

13577677564 is a deficient number, since it is larger than the sum of its proper divisors (12343343324).

13577677564 is a wasteful number, since it uses less digits than its factorization.

13577677564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308583596 (or 308583594 counting only the distinct ones).

The product of its digits is 25930800, while the sum is 58.

The spelling of 13577677564 in words is "thirteen billion, five hundred seventy-seven million, six hundred seventy-seven thousand, five hundred sixty-four".