13820249982 has 384 divisors, whose sum is σ = 39223296000. Its totient is φ = 3227273280.

The previous prime is 13820249981. The next prime is 13820250047. The reversal of 13820249982 is 28994202831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820249981) 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 191 ways as a sum of consecutive naturals, for example, 108820803 + ... + 108820929.

It is an arithmetic number, because the mean of its divisors is an integer number (102144000).

Almost surely, 2^13820249982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13820249982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611648000).

13820249982 is an abundant number, since it is smaller than the sum of its proper divisors (25403046018).

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

13820249982 is a wasteful number, since it uses less digits than its factorization.

13820249982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 13820249982 in words is "thirteen billion, eight hundred twenty million, two hundred forty-nine thousand, nine hundred eighty-two".