13982776416 has 384 divisors, whose sum is σ = 49230720000. Its totient is φ = 3854946816.

The previous prime is 13982776397. The next prime is 13982776417. The reversal of 13982776416 is 61467728931.

13982776416 is a `hidden beast` number, since 139 + 8 + 27 + 76 + 416 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982776417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8593395 + ... + 8595021.

It is an arithmetic number, because the mean of its divisors is an integer number (128205000).

Almost surely, 2^13982776416 is an apocalyptic number.

13982776416 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 13982776416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24615360000).

13982776416 is an abundant number, since it is smaller than the sum of its proper divisors (35247943584).

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

13982776416 is a wasteful number, since it uses less digits than its factorization.

13982776416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1668 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 13982776416 in words is "thirteen billion, nine hundred eighty-two million, seven hundred seventy-six thousand, four hundred sixteen".