13993943616 has 315 divisors, whose sum is σ = 43687750953. Its totient is φ = 4429002240.

The previous prime is 13993943611. The next prime is 13993943629. The reversal of 13993943616 is 61634939931.

The square root of 13993943616 is 118296.

It is a perfect power (a square), and thus also a powerful number.

13993943616 is a `hidden beast` number, since 13 + 9 + 9 + 3 + 9 + 4 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10088193600 + 3905750016 = 100440^2 + 62496^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (13993943611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 264036646 + ... + 264036698.

Almost surely, 2^13993943616 is an apocalyptic number.

13993943616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13993943616 is the 118296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13993943616

13993943616 is an abundant number, since it is smaller than the sum of its proper divisors (29693807337).

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

13993943616 is an frugal number, since it uses more digits than its factorization.

13993943616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 89 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The spelling of 13993943616 in words is "thirteen billion, nine hundred ninety-three million, nine hundred forty-three thousand, six hundred sixteen".