13677685567 has 48 divisors (see below), whose sum is σ = 17637092928. Its totient is φ = 10319362560.

The previous prime is 13677685537. The next prime is 13677685621. The reversal of 13677685567 is 76558677631.

It is a happy number.

It is not a de Polignac number, because 13677685567 - 2¹¹ = 13677683519 is a prime.

It is a super-2 number, since 2×13677685567² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677685537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52006278 + ... + 52006540.

It is an arithmetic number, because the mean of its divisors is an integer number (367439436).

Almost surely, 2^13677685567 is an apocalyptic number.

13677685567 is a deficient number, since it is larger than the sum of its proper divisors (3959407361).

13677685567 is an equidigital number, since it uses as much as digits as its factorization.

13677685567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 377 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 61.

The spelling of 13677685567 in words is "thirteen billion, six hundred seventy-seven million, six hundred eighty-five thousand, five hundred sixty-seven".