13872023984 has 80 divisors (see below), whose sum is σ = 33126546432. Its totient is φ = 5480020224.

The previous prime is 13872023983. The next prime is 13872023989. The reversal of 13872023984 is 48932027831.

It is a happy number.

13872023984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13872023981) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1075397 + ... + 1088219.

Almost surely, 2^13872023984 is an apocalyptic number.

13872023984 is a gapful number since it is divisible by the number (14) 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 13872023984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563273216).

13872023984 is an abundant number, since it is smaller than the sum of its proper divisors (19254522448).

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

13872023984 is a wasteful number, since it uses less digits than its factorization.

13872023984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13594 (or 13588 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 13872023984 in words is "thirteen billion, eight hundred seventy-two million, twenty-three thousand, nine hundred eighty-four".