13984137216 has 272 divisors, whose sum is σ = 47395273600. Its totient is φ = 3991928832.

The previous prime is 13984137173. The next prime is 13984137227. The reversal of 13984137216 is 61273148931.

13984137216 is a `hidden beast` number, since 1 + 398 + 41 + 3 + 7 + 216 = 666.

It is a super-4 number, since 4×13984137216⁴ (a number of 42 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12385740 + ... + 12386868.

Almost surely, 2^13984137216 is an apocalyptic number.

13984137216 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 13984137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23697636800).

13984137216 is an abundant number, since it is smaller than the sum of its proper divisors (33411136384).

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

13984137216 is an frugal number, since it uses more digits than its factorization.

13984137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1141 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 13984137216 in words is "thirteen billion, nine hundred eighty-four million, one hundred thirty-seven thousand, two hundred sixteen".