13688763072 has 112 divisors (see below), whose sum is σ = 37105815552. Its totient is φ = 4452295680.

The previous prime is 13688763071. The next prime is 13688763073. The reversal of 13688763072 is 27036788631.

It is an interprime number because it is at equal distance from previous prime (13688763071) and next prime (13688763073).

It is not an unprimeable number, because it can be changed into a prime (13688763071) 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 15 ways as a sum of consecutive naturals, for example, 1482823 + ... + 1492025.

Almost surely, 2^13688763072 is an apocalyptic number.

13688763072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13688763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18552907776).

13688763072 is an abundant number, since it is smaller than the sum of its proper divisors (23417052480).

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

13688763072 is a wasteful number, since it uses less digits than its factorization.

13688763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9406 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 13688763072 in words is "thirteen billion, six hundred eighty-eight million, seven hundred sixty-three thousand, seventy-two".