13862627688 has 128 divisors (see below), whose sum is σ = 42742425600. Its totient is φ = 3648519936.

The previous prime is 13862627671. The next prime is 13862627699. The reversal of 13862627688 is 88672626831.

It is a happy number.

13862627688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13862627688² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1092243 + ... + 1104861.

It is an arithmetic number, because the mean of its divisors is an integer number (333925200).

Almost surely, 2^13862627688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13862627688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21371212800).

13862627688 is an abundant number, since it is smaller than the sum of its proper divisors (28879797912).

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

13862627688 is a wasteful number, since it uses less digits than its factorization.

13862627688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13151 (or 13147 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The spelling of 13862627688 in words is "thirteen billion, eight hundred sixty-two million, six hundred twenty-seven thousand, six hundred eighty-eight".