13771319688 has 48 divisors (see below), whose sum is σ = 42625514880. Its totient is φ = 3934662624.

The previous prime is 13771319687. The next prime is 13771319711. The reversal of 13771319688 is 88691317731.

13771319688 is a `hidden beast` number, since 1 + 377 + 1 + 3 + 196 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13771319687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13661520 + ... + 13662527.

It is an arithmetic number, because the mean of its divisors is an integer number (888031560).

Almost surely, 2^13771319688 is an apocalyptic number.

13771319688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13771319688 is an abundant number, since it is smaller than the sum of its proper divisors (28854195192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13771319688 is a wasteful number, since it uses less digits than its factorization.

13771319688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27324066 (or 27324059 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 13771319688 in words is "thirteen billion, seven hundred seventy-one million, three hundred nineteen thousand, six hundred eighty-eight".