13987338976 has 48 divisors (see below), whose sum is σ = 29692353600. Its totient is φ = 6447748608.

The previous prime is 13987338971. The next prime is 13987338977. The reversal of 13987338976 is 67983378931.

13987338976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13987338971) 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 7 ways as a sum of consecutive naturals, for example, 324585 + ... + 365143.

It is an arithmetic number, because the mean of its divisors is an integer number (618590700).

Almost surely, 2^13987338976 is an apocalyptic number.

13987338976 is a gapful number since it is divisible by the number (16) 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 13987338976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14846176800).

13987338976 is an abundant number, since it is smaller than the sum of its proper divisors (15705014624).

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

13987338976 is a wasteful number, since it uses less digits than its factorization.

13987338976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41411 (or 41403 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 64.

The spelling of 13987338976 in words is "thirteen billion, nine hundred eighty-seven million, three hundred thirty-eight thousand, nine hundred seventy-six".